Benoit Perthame

Q: What Schools Are Affiliated With Benoit Perthame

Benoit Perthame is affiliated with the following schools: Paris Sciences et Lettres University, University of Orléans, Sorbonne University

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Benoit Perthame

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Measure Theory

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Mathematics

Why Is Benoit Perthame Influential?

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According to Wikipedia, Benoit Perthame is a French mathematician, who deals with non-linear partial differential equations and their applications in biology. He is a professor at Pierre-et-Marie Curie University and at the Laboratoire Jacques-Louis Lions, which he directs.

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Benoit Perthame's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows (2004) (919)
Transport Equations in Biology (2006) (879)
A kinetic formulation of multidimensional scalar conservation laws and related equations (1994) (536)
Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system (1991) (511)
Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions (2006) (498)
Regularity of the moments of the solution of a Transport Equation (1988) (481)
Derivation of viscous Saint-Venant system for laminar shallow water (2001) (395)
Kinetic formulation of the isentropic gas dynamics andp-systems (1994) (365)
Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates (1998) (333)
A kinetic scheme for the Saint-Venant system¶with a source term (2001) (320)
Global Solutions of Some Chemotaxis and Angiogenesis Systems in High Space Dimensions (2004) (318)
Kinetic formulation of conservation laws (2002) (292)
Kinetic Models for Chemotaxis and their Drift-Diffusion Limits (2004) (256)
The non-local Fisher–KPP equation: travelling waves and steady states (2009) (254)
General relative entropy inequality: an illustration on growth models (2005) (247)
The Gaussian-BGK model of Boltzmann equation with small Prandtl number (2000) (237)
The dynamics of adaptation: an illuminating example and a Hamilton-Jacobi approach. (2005) (236)
Exit Time Problems in Optimal Control and Vanishing Viscosity Method (1988) (230)
Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions (1992) (230)
Discontinuous solutions of deterministic optimal stopping time problems (1987) (226)
Optimal critical mass in the two dimensional Keller–Segel model in R2 (2004) (219)
A Consistent BGK-Type Model for Gas Mixtures (2002) (214)
Derivation of hyperbolic models for chemosensitive movement (2005) (206)
Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics (1998) (204)
On positivity preserving finite volume schemes for Euler equations (1996) (203)
Numerical modeling of avalanches based on Saint-Venant equations using a kinetic scheme (2003) (200)
Kinetic equations and asympotic theory (2000) (199)
Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations (2003) (186)
A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows (2003) (169)
Boltzmann type schemes for gas dynamics and the entropy property (1990) (163)
The Hele–Shaw Asymptotics for Mechanical Models of Tumor Growth (2013) (153)
Global existence to the BGK model of Boltzmann equation (1989) (149)
A Fourier spectral method for homogeneous boltzmann equations (1996) (145)
A Numerical Method Using Upwind Schemes for the Resolution of Two-Phase Flows (1997) (145)
PDE Models for Chemotactic Movements: Parabolic, Hyperbolic and Kinetic (2004) (143)
Exponential decay for the fragmentation or cell-division equation (2005) (138)
Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations (2010) (136)
Kruzkov's estimates for scalar conservation laws revisited (1998) (135)
Equilibrium schemes for scalar conservation laws with stiff sources (2003) (131)
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies (2012) (129)
Dirac concentrations in Lotka-Volterra parabolic PDEs (2007) (128)
The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation (1988) (127)
Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies (2005) (122)
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states (2010) (119)
A limiting case for velocity averaging (1998) (118)
Modeling the Effects of Space Structure and Combination Therapies on Phenotypic Heterogeneity and Drug Resistance in Solid Tumors (2013) (117)
Numerical passage from kinetic to fluid equations (1991) (115)
Gelation and mass conservation in coagulation-fragmentation models (2003) (113)
Invasion fronts with variable motility: Phenotype selection, spatial sorting and wave acceleration (2012) (112)
A chemotaxis model motivated by angiogenesis (2003) (110)
Time decay, propagation of low moments and dispersive effects for kinetic equations (1996) (109)
Morrey–Campanato Estimates for Helmholtz Equations (1999) (108)
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation* (2009) (105)
Mathematical tools for kinetic equations (2004) (104)
Dynamics of a structured neuron population (2009) (102)
Mathematical Description of Bacterial Traveling Pulses (2009) (98)
Microreversible collisions for polyatomic gases and Boltzmann's theorem (1994) (97)
On a boundary layer problem for the nonlinear Boltzmann equation (1988) (94)
An age-and-cyclin-structured cell population model for healthy and tumoral tissues (2008) (90)
Parabolic Equations in Biology (2015) (88)
Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure (1998) (87)
The rosseland approximation for the radiative transfer equations (1987) (85)
Applying ecological and evolutionary theory to cancer: a long and winding road (2012) (83)
General entropy equations for structured population models and scattering (2004) (77)
Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases ☆ (2002) (77)
A MUSCL method satisfying all the numerical entropy inequalities (1996) (74)
STABILITY IN A NONLINEAR POPULATION MATURATION MODEL (2002) (72)
Scalar conservation laws with rough (stochastic) fluxes (2013) (71)
Kinetic Schemes for Saint-Venant Equations with Source Terms on Unstructured Grids (2000) (71)
Non-existence of global solutions to Euler-Poisson equations for repulsive forces (1990) (71)
Existence of solutions of the hyperbolic Keller-Segel model (2006) (70)
On the inverse problem for a size-structured population model (2006) (69)
Relaxation and Self-Sustained Oscillations in the Time Elapsed Neuron Network Model (2011) (69)
A Structured Population Model of Cell Differentiation (2010) (68)
Estimations de Strichartz pour les équations de transport cinétique (1996) (66)
Exponential decay for the growth-fragmentation/cell-division equation (2009) (65)
Numerical solution of an inverse problem in size-structured population dynamics (2008) (64)
Traveling waves for the Keller–Segel system with Fisher birth terms (2008) (64)
Coupling Boltzmann and Euler equations without overlapping (1992) (62)
Some New Godunov and Relaxation Methods for Two-Phase Flow Problems (2001) (61)
Size distribution dependence of prion aggregates infectivity. (2009) (61)
Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit (2007) (60)
Maximum principle on the entropy and second-order kinetic schemes (1994) (59)
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case (2014) (58)
Upwinding of the source term at interfaces for Euler equations with high friction (2007) (58)
Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation (2014) (57)
Regularity in kinetic formulations via averaging lemmas (2002) (56)
Analysis of a molecular structured population model with possible polynomial growth for the cell division cycle (2008) (56)
Regularity and propagation of moments in some nonlinear Vlasov systems (2000) (56)
Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces (2008) (56)
Incompressible limit of a mechanical model of tumour growth with viscosity (2014) (55)
Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians (1987) (55)
Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation (2010) (54)
Convergence of the Upwind Interface Source Method for Hyperbolic Conservation Laws (2003) (54)
High frequency limit of the Helmholtz equations. (2002) (54)
Kinetic formulation for chromatography and some other hyperbolic systems (1995) (52)
Time decy, propagarion of low moments and dispersive (1996) (52)
Generalized solutions of the radiative transfer equations in a singular case (1986) (51)
A variant of Van Leer's method for multidimensional systems of conservation laws (1994) (49)
Mathematical Analysis of a PDE System for Biological Network Formation (2014) (48)
Global Existence for a Kinetic Model of Chemotaxis via Dispersion and Strichartz Estimates (2007) (48)
Critical space for the parabolic-parabolic Keller–Segel model in Rd (2006) (47)
Notes on Mathematical Problems on the Dynamics of Dispersed Particles Interacting through a Fluid (2000) (47)
Lemmes de moments, de moyenne et de dispersion (1992) (47)
Gelation in Coagulation and Fragmentation Models (2002) (46)
Boltzmann equation with infinite energy: renormalized solutions and distributional solutions for small initial data and initial data close to a Maxwellian (1997) (46)
A HELE-SHAW problem for tumor growth (2015) (46)
Conservative cross diffusions and pattern formation through relaxation (2009) (45)
The ES-BGK model equation with correct Prandtl number (2002) (45)
Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience (2015) (44)
Kinetic Formulation for Systems of Two¶Conservation Laws and Elastodynamics (2000) (44)
Notes on a PDE System for Biological Network Formation (2015) (43)
Derivation of a Hele-Shaw type system from a cell model with active motion (2014) (43)
Traveling wave solution of the Hele–Shaw model of tumor growth with nutrient (2014) (41)
Asymptotic analysis of a selection model with space (2014) (41)
Quasi-variational inequalities and ergodic impulse control (1986) (40)
Evolution of species trait through resource competition (2012) (40)
On the modified Enskog equation for elastic and inelastic collisions. Models with spin (1991) (39)
Adaptive dynamics via Hamilton-Jacobi approach and entropy methods for a juvenile-adult model. (2007) (39)
Wave-like Solutions for Nonlocal Reaction-diffusion Equations: a Toy Model (2013) (39)
Modified Keller-Segel system and critical mass for the log interaction kernel (2006) (38)
Circadian rhythm and tumour growth (2006) (38)
Optimal regularizing effect for scalar conservation laws (2011) (38)
Beyond blow-up in excitatory integrate and fire neuronal networks: Refractory period and spontaneous activity. (2014) (37)
Higher moments for kinetic equations: The Vlasov–Poisson and Fokker–Planck cases (1990) (36)
Energy Concentration and Sommerfeld Condition for Helmholtz Equation with Variable Index at Infinity (2006) (36)
Stochastic averaging lemmas for kinetic equations (2012) (35)
Parabolic Equations in Biology: Growth, reaction, movement and diffusion (2015) (35)
Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws (2003) (35)
Perturbed dynamical systems with an attracting singularity and weak viscosity limits in Hamilton-Jacobi equations (1990) (35)
An Integro-Differential Equation Model for Alignment and Orientational Aggregation (2009) (34)
Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway (2015) (34)
A BGK model for small Prandtl number in the Navier-Stokes approximation (1993) (34)
A two-species hyperbolic–parabolic model of tissue growth (2018) (33)
Models of Self-Organizing Bacterial Communities and Comparisons with Experimental Observations (2010) (33)
On interfaces between cell populations with different mobilities (2016) (32)
Travelling plateaus for a hyperbolic Keller–Segel system with attraction and repulsion: existence and branching instabilities (2010) (32)
On The Motion of Dispersed Balls in a Potential Flow: A Kinetic Description of the Added Mass Effect (1999) (31)
A mathematical model of the cell cycle and its control (2003) (31)
An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations (2007) (31)
On a voltage-conductance kinetic system for integrate and fire neural networks (2013) (31)
Upwinding sources at interfaces in conservation laws (2004) (30)
Optimal Approximations of Transport Equations by Particle and Pseudoparticle Methods (2000) (29)
Hele–Shaw Limit for a System of Two Reaction-(Cross-)Diffusion Equations for Living Tissues (2019) (29)
Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations (2008) (29)
Stability Analysis of a Simplified Yet Complete Model for Chronic Myelogenous Leukemia (2010) (28)
Asymmetric potentials and motor effect: a homogenization approach (2009) (27)
Front propagation for a jump process model arising in spacial ecology (2005) (27)
Nonlinear Renewal Equations (2008) (27)
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations (2018) (26)
Survival thresholds and mortality rates in adaptive dynamics: conciliating deterministic and stochastic simulations. (2010) (26)
Dispersion and Moment Lemmas Revisited (1999) (26)
The flux limited Keller–Segel system; properties and derivation from kinetic equations (2018) (25)
Composite waves for a cell population system modeling tumor growth and invasion (2013) (25)
Direct competition results from strong competition for limited resource (2012) (25)
LINEAR TRANSPORT EQUATIONS WITH DISCONTINUOUS COEFFICIENTS (24)
Some remarks on quasi-variational inequalities and the associated impulsive control problem (1985) (24)
Traveling Wave and Aggregation in a Flux-Limited Keller-Segel Model (2017) (24)
Averages over spheres for kinetic transport equations; hyperbolic Sobolev spaces and Strichartz inequalities (2001) (23)
Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller–Segel equation (2018) (23)
Advances in Kinetic Theory and Computing: Selected Papers (1994) (21)
Rare mutations limit of a steady state dispersal evolution model (2016) (20)
WAVES FOR A HYPERBOLIC KELLER–SEGEL MODEL AND BRANCHING INSTABILITIES (2011) (20)
An Introduction to Kinetic Schemes for Gas Dynamics (1997) (20)
Asymmetric Potentials and Motor Effect: A Large Deviation Approach (2007) (19)
A Mathematical Model of the Cell Cycle and Its CircadianControl (2007) (19)
Continuous and impulsive control of diffusion processes in RN (1984) (19)
Transport of pollutant in shallow water using kinetic schemes (2001) (19)
A Model of Calcium Transport along the Rat Nephron (2013) (18)
Regularization in Keller-Segel type systems and the De Giorgi method (2012) (18)
Time fluctuations in a population model of adaptive dynamics (2013) (18)
Population Formulation of Adaptative Meso-evolution: Theory and Numerics (2011) (17)
Quasi-variational inequalities and Hamilton-Jacobi-Bellman equations in a bounded region (1984) (17)
Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes (2015) (17)
Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension (2021) (16)
Dynamics of Concentration in a Population Model Structured by Age and a Phenotypical Trait (2018) (16)
Toward an integrated workforce planning framework using structured equations (2016) (16)
Sharp CFL, Discrete Kinetic Formulation, and Entropic Schemes for Scalar Conservation Laws (2003) (15)
Some mathematical aspects of tumor growth and therapy (2014) (15)
The Neumann problem for nonlinear second order singular perturbation problems (1988) (15)
The fractional diffusion limit of a kinetic model with biochemical pathway (2017) (15)
Free boundary problems for Tumor Growth: a Viscosity solutions approach (2015) (15)
Kinetic schemes for solving Saint-Venant equations on unstructured grids (2001) (13)
$L^p$ and $L^\infty$ a priori estimates for some chemotaxis models and applications to the Cauchy problem (Dynamics of spatio - temporal patterns for the system of reaction - diffusion equations) (2005) (13)
Scaling limits for the Ruijgrok–Wu model of the Boltzmann equation (2001) (13)
Backward Parabolicity, Cross-Diffusion and Turing Instability (2018) (13)
Introduction to the Theory of Random Particle Methods for Boltzmann Equation (1996) (12)
A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells. (2018) (12)
Long-term behaviour of phenotypically structured models (2014) (12)
Employee turnover prediction and retention policies design: a case study (2017) (12)
On some large systems of random particles which approximate scalar conservation laws (1995) (12)
Invariants and exponential rate of convergence to steady state in the renewal equation (2005) (11)
Kinetic Approach to Systems of Conservation Laws (1992) (11)
Relaxation of the Cahn–Hilliard equation with singular single-well potential and degenerate mobility (2019) (10)
Distributed synaptic weights in a LIF neural network and learning rules (2017) (10)
A multiscale colloid transport model with anisotropic degenerate diffusion (2003) (10)
Energy concentration and Sommerfeld condition for Helmholtz and Liouville equations (2003) (10)
ANALYSIS OF A CELL SYSTEM WITH FINITE DIVISIONS (2009) (10)
Uniform estimates for some degenerating quasilinear elliptic equations and a bound on the Harnack constant for linear equations (1991) (10)
An age-and-cyclin-structured cell population model with proliferation and quiescence for healthy and tumoral tissues (2006) (10)
Multiple asymptotics of kinetic equations with internal states (2019) (10)
A Lyapunov function for a two-chemical species version of the chemotaxis model (2006) (9)
Singular Hamilton-Jacobi equation for the tail problem (2010) (9)
A homogenization approach to flashing ratchets (2011) (9)
Analysis of a simplified model of the urine concentration mechanism (2012) (9)
Moderate dispersion in conservation laws with convex fluxes (2007) (9)
Uncertainty Propagation; Intrusive Kinetic Formulations of Scalar Conservation Laws (2016) (9)
Dynamics of Nonlocal Fisher concentration points: a nonlinear analysis of Turing patterns (2007) (9)
Data Assimilation for hyperbolic conservation laws. A Luenberger observer approach based on a kinetic description (2013) (9)
Sommerfeld condition for a Liouville equation and concentration of trajectories (2003) (8)
Transport distances for PDEs: the coupling method (2021) (8)
Competition and boundary formation in heterogeneous media: Application to neuronal differentiation (2014) (8)
Nonlinear Boltzmann Equation Solutions and Applications to Fluid Dynamics (1995) (8)
Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons (2019) (8)
Degenerate Cahn–Hilliard and incompressible limit of a Keller–Segel model (2021) (8)
Ergodic problem for optimal stochastic switching (1990) (8)
Rare mutations limit of a steady state dispersion trait model (2015) (8)
A simple derivation of BV bounds for inhomogeneous relaxation systems (2014) (8)
Eponential Decay To Stable States In Phase Transitions Via A Double Log–Transformation (1990) (7)
The radiative transfer equations: Existence of solutions and diffusion approximation under accretivity assumptions — A survey (1987) (7)
A new kinetic scheme for Saint-Venant equations applied to debris avalanches (2002) (7)
Fast Reaction Limit with Nonmonotone Reaction Function (2020) (7)
Monge-Kantorovich distance for PDEs: the coupling method (2019) (7)
Chapter 6 Kinetic formulations of parabolic and hyperbolic PDEs: From theory to numerics (2002) (7)
Existence of a global weak solution for a reaction–diffusion problem with membrane conditions (2020) (7)
Nonlinear stability of a Vlasov equation for magnetic plasmas (2012) (7)
Self-organized pattern formation of run-and-tumble chemotactic bacteria: Instability analysis of a kinetic chemotaxis model (2017) (7)
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility (2020) (7)
Total oscillation diminishing property for scalar conservation laws (2005) (6)
Long-Time Asymptotics for Polymerization Models (2017) (6)
Coupling Boltzmann and Navier-Stokes (1994) (6)
Weak Stability of Isentropic Gas Dynamics for y = 5-3. (1996) (6)
Dynamics of time elapsed inhomogeneous neuron network model (2015) (6)
Reaction-diffusion systems with initial data of low regularity (2019) (5)
A Lyapunov function for a two-chemical version of the chemotaxis model (2003) (5)
Derivation of an integrate&fire equation for neural networks from a voltage-conductance kinetic model (2018) (5)
Optimal Rate of Convergence for Anisotropic Vanishing Viscosity Limit of a Scalar Balance Law (2003) (5)
Addendum to: “Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws” (2004) (5)
a priori estimates for some chemotaxis models and applications to the Cauchy problem (2005) (5)
Convergence rate for the incompressible limit of nonlinear diffusion–advection equations (2021) (5)
Adaptive dynamics of hematopoietic stem cells and their supporting stroma: a model and mathematical analysis. (2019) (5)
The Quantum Scattering Limit for a Regularized Wigner Equation (2004) (5)
A Nonexpanding Transport Distance for Some Structured Equations (2021) (5)
The solution of the nonlinear Boltzmann equation: A survey of analytic and computational methods (1995) (5)
The Aronson–Bénilan estimate in Lebesgue spaces (2020) (5)
A Singular Hamilton-Jacobi Equation Modeling the Tail Problem (2010) (5)
Mathematical methods and modeling of biophysical phenomena (2008) (4)
Incompressible limits of Patlak-Keller-Segel model and its stationary state (2022) (4)
Social contacts and the spread of infectious diseases (2020) (4)
Super-linear propagation for a general, local cane toads model (2017) (4)
A multiple time renewal equation for neural assemblies with elapsed time model (2021) (4)
Bounded speed of propagation for solutions to radiative transfer equations (1990) (4)
Stationary Boltzmann's Equation With a Source Term (1990) (4)
Dirac concentrations in a chemostat model of adaptive evolution (2017) (4)
Career plans and wage structures: a mean field game approach (2018) (4)
Implicit and Semi-implicit Numerical Schemes for the Gradient Flow of the Formation of Biological Transport Networks (2020) (4)
Asymptotic Analysis of the Drift-Diffusion Equations and Hamilton–Jacobi Equations (1997) (4)
Moderate dispersion in scalar conservation laws (2007) (3)
Hele–Shaw Limit for a System of Two Reaction-(Cross-)Diffusion Equations for Living Tissues (2019) (3)
Discontinuous viscosity solutions of deterministic optimal control problems (1986) (3)
Vanishing impulse cost in the quasi-variational inequality for ergodic impulse control (1988) (3)
From Vlasov Equation to Degenerate Nonlocal Cahn-Hilliard Equation (2022) (3)
Fast Voltage Dynamics of Voltage–Conductance Models for Neural Networks (2020) (3)
L1 contraction property for a Boltzmann equation with Pauli statistics (2002) (3)
Fokker–Plank System for Movement of Micro-organism Population in Confined Environment (2021) (3)
Global Stability of Steady Solutions for a Model in Virus Dynamics (2003) (3)
On the regularity of the solutions of quasi-variational inequalities (1985) (3)
On Positivity Preserving Finite Volume Schemes for Compressible Euler Equations (1993) (3)
Motility Switching and Front–Back Synchronisation in Polarised Cells (2021) (2)
Selection–mutation dynamics with asymmetrical reproduction kernels (2021) (2)
Analyse asymptotique des équations de dérive-diffusion et équations de Hamilton-Jacobi (1996) (2)
An elapsed time model for strongly coupled inhibitory and excitatory neural networks (2021) (2)
Morrey-Campanato estimates for Helmholtz equation (2021) (2)
Kinetic methods for Line-energy Ginzburg–Landau models (2002) (2)
Relaxation of the Cahn-Hilliard equation with degenerate double-well potential and degenerate mobility (2019) (2)
A model for cost efficient Workforce Organizational Dynamics and its optimization (2017) (2)
Bimodality, prion aggregates infectivity and prediction of strain phenomenon (2008) (2)
Corrigendum to "An integro-differential equation model for alignment and orientational aggregation" [J. Differential Equations 246 (4) (2009) 1387-1421] (2012) (2)
Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience (2022) (2)
Dynamics of concentration in a population structured by age and a phenotypic trait with mutations. Convergence of the corrector (2020) (2)
Sharp Long-Time Asymptotics for Chemotaxis with Free Boundary (2021) (2)
Transversal instability for the thermodiffusive reaction-diffusion system (2014) (2)
Analysis of a System Describing Proliferative-Quiescent Cell Dynamics (2018) (1)
An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics (2020) (1)
Partial Differential Equations Circadian rhythm and tumour growth (2006) (1)
Analytical examples of diffusive waves generated by a traveling wave (2017) (1)
Modeling the Effects of Space Structure and Combination Therapies on Phenotypic Heterogeneity and Drug Resistance in Solid Tumors (2014) (1)
Linear Instability, Turing Instability and Pattern Formation (2015) (1)
Mathematical methods and modelling of biophysical phenomena (2011) (1)
a Kinetic Solution for Degenerate Parabolic-Hyperbolic Equations ? (2010) (1)
Modelling targets for anticancer drug control optimization in physiologically structured cell population models (2012) (1)
Tumour growth and drug resistance: an evolutionary view with perspectives in therapeutics (2016) (1)
Modeling and Simulation for Collective Dynamics (2022) (1)
A coupled 3D-1D multiscale Keller-Segel model of chemotaxis and its application to cancer invasion (2022) (1)
Pressure jump and radial stationary solutions of the degenerate Cahn-Hilliard equation (2022) (1)
A Hamilton-Jacobi approach to evolution of dispersal (2022) (1)
The Mathematics of Mechanobiology (2020) (1)
Flux-limited equations arising in biology: comment on "Morphogenetic action through flux-limited spreading" by M. Verbeni et al. (2013) (1)
An Impulsive Control Problem with State Constraint (1989) (1)
Scalar conservation laws with rough (stochastic) fluxes (2013) (1)
Stability Analysis of a Simpliﬁed Yet Complete Model for Chronic Myelegenous Leukemia (2009) (1)
Oscillatory regimes in a mosquito population model with larval feedback on egg hatching (2018) (1)
Strategic Workforce Planning and sales force : a demographic approach to productivity (2017) (1)
Kinetic Equations and Cell Motion: An Introduction (2019) (0)
New Results - Autres applications de la théorie de Perron-Frobenius non-linéaire/Other applications of non-linear Perron-Frobenius theory (2006) (0)
Dirac concentrations in a chemostat model of adaptive evolution (2017) (0)
Analysis of a System Describing Proliferative-Quiescent Cell Dynamics (2018) (0)
Weak Solutions of Parabolic Equations in Whole Space (2015) (0)
Influence of the Riemann solver over the splitting method for the resolution of two-phase flows (1998) (0)
Structured Model Conserving Biomass for the Size-spectrum Evolution in Aquatic Ecosystems (2022) (0)
Analysis of ”Integrate and Fire” models for neural networks (2015) (0)
Differential Equations arising from Organising Principles in Biology (2019) (0)
Selection , mutation , adaptive dynamics : an asymptotic point of view (2004) (0)
Relaxation, Perturbation and Entropy Methods (2015) (0)
Direct competition results from strong competition for limited resource (2013) (0)
Regularity and propagation ofmoments in some nonlinear (2006) (0)
The Fokker-Planck Equation (2015) (0)
Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation (2014) (0)
EFFECTS OF SPACE STRUCTURE AND COMBINATION THERAPIES ON INTRA-TUMOR HETEROGENEITY (2015) (0)
Bernoulli Variational Problem and Beyond (2013) (0)
Models of Cell Motion and Tissue Growth (2020) (0)
Wetting on a deformable substrate with finite deformations and asymmetrical substrate surface energies. (2016) (0)
Fast Voltage Dynamics of Voltage–Conductance Models for Neural Networks (2020) (0)
Mathematical models of cell self-organization (2011) (0)
Numerical simulation of granular flows: comparison with experimental results (2003) (0)
The Dirichlet Boundary Value Problem for B.G.K. Equation (1991) (0)
Cross-diffusions and Turing instabilities (2018) (0)
Uperieure S Ormale N Ecole Optimal Approximations of Transport Equations by Particle and Pseudo-particle Methods Optimal Approximations of Transport Equations by Particle and Pseudo-particle Methods Optimal Approximations of Transport Equations by Particle and Pseudo-particle Methods (2007) (0)
New Results - Miscellaneous (2015) (0)
Modelling the spatial organization of cell proliferation in the developing central nervous system (2010) (0)
Bernoulli Variational Problem and Beyond (2014) (0)
The Hele–Shaw Asymptotics for Mechanical Models of Tumor Growth (2014) (0)
OPTIMAL REGULARIZING EFFECT FOR SCALAR LAWS (2012) (0)
New Results - Modeling of neurogenesis and brain development (2015) (0)
New Results - Aggregation Kinetics (2015) (0)
ICASE A KINETIC EQUATION WITH KINETIC ENTROPY FUNCTIONS FOR SCALAR CONSERVATION LAWS (0)
New Results - Tissue growth and cell movment (2006) (0)
Uperieure S Ormale N Ecole a Limiting Case for Velocity Averaging a Limiting Case for Velocity Averaging a Limiting Case for Velocity Averaging (1998) (0)
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case (2014) (0)
Energy decay and Sommerfeld condition for Helmholtz equation with variable index at in nity (2021) (0)
Blow-Up and Extinction of Solutions (2015) (0)
Long-Time Asymptotics for Polymerization Models (2018) (0)
Long-term analysis of phenotypically structured models (2016) (0)
Notes on mathematical problems on thedynamics of dispersed particlesinteracting through a uidPierre - (1998) (0)
Collective motion driven by nutrient consumption (2022) (0)
Kinetic Equations and Hyperbolic Systems of Conversation Laws (1995) (0)
Foreword to the Proceedings of the Congrès SMAI 2013 (2014) (0)
Applications of Mathematics (2004) (0)
From Jumps and Scattering to the Fokker-Planck Equation (2015) (0)
New Results - Free surface geophysical flows (2004) (0)
The fractional diffusion limit of a kinetic model with biochemical pathway (2018) (0)
DRUG EFFECTS IN HEALTHY AND CANCER CELL POPULATIONS Modelling drug effects on the cell division cycle , healthy and cancer cell populations (2013) (0)
Fast Reactions and the Stefan Free Boundary Problem (2015) (0)
Contracts and Grants with Industry - Action Équations de Saint-Venant et écoulements en eaux peu profondes (2002) (0)
A P ] 8 S ep 2 01 3 Scalar conservation laws with rough ( stochastic ) fluxes (0)
Perthame. Conservative cross diffusions and pattern formation through (2010) (0)
New Results - Proliferation dynamics and its control (2011) (0)
Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway (2016) (0)
Dynamics of elapsed time inhomogeneous neuron network model (2015) (0)
Evolution of species trait through resource competition (2011) (0)
Dispersion Lemmas Revisited (1999) (0)
Spikes, Spots and Pulses (2015) (0)
Transversal instability for the thermodiffusive reaction-diffusion system (2015) (0)
New Results - Free surface flows (2003) (0)
Abstracts of the talks (2017) (0)
Dynamics of Concentration in a Population Model Structured by Age and a Phenotypical Trait (2017) (0)
Modeling the Spread and (Optimal) Control of Arboviroses by Wolbachia (2015) (0)
New Results - Modeling in computational neurosciences (2011) (0)
New Results - Cancer (2016) (0)
Transport costs for PDEs: the coupling method (2020) (0)
Motility Switching and Front–Back Synchronisation in Polarised Cells (2022) (0)
Composite waves for a cell population system modeling tumor growth and invasion (2013) (0)
New Results - Tissue growth, regeneration and cell movment (2008) (0)
A limiting case of averaging compactness lemmas motivated by the kinetic formulation of some classical systems of fluid mechanics (1999) (0)
Backward Parabolicity, Cross-Diffusion and Turing Instability (2018) (0)

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