Denis Serre
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French mathematician
Denis Serre's AcademicInfluence.com Rankings
Denis Serremathematics Degrees
Mathematics
#825
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#1475
Historical Rank
Measure Theory
#1763
World Rank
#2163
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Mathematics
Denis Serre's Degrees
- PhD Mathematics Université Paris Cité
Why Is Denis Serre Influential?
(Suggest an Edit or Addition)According to Wikipedia, Denis Serre is a French mathematician who works as a professor at the École normale supérieure de Lyon, where he has chaired the mathematics department since 2012. His research concerns partial differential equations, hydrodynamics, and conservation laws.
Denis Serre'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
- Matrices: Theory and Applications (2002) (705)
- The MUSE second-generation VLT instrument (2010) (466)
- Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves (1999) (352)
- Systems of conservation laws (1999) (350)
- Multidimensional hyperbolic partial differential equations : first-order systems and applications (2006) (211)
- Multi-dimensional hyperbolic partial differential equations (2006) (199)
- Handbook of mathematical fluid dynamics (2002) (193)
- The failure on continuous dependence on initial data for the Navier-Stokes equations of compressible flow (1991) (184)
- Viscous and inviscid stability of multidimensional planar shock fronts (1999) (145)
- Multidimensional Shock Interaction for a Chaplygin Gas (2009) (104)
- ℒ1 stability of shock waves in scalar viscous conservation laws (1998) (82)
- Stability of constant equilibrium state for dissipative balance laws system with a convex entropy (2004) (76)
- Global existence of solutions for the system of compressible adiabatic flow through porous media (1996) (73)
- Alternate Evans Functions and Viscous Shock Waves (2001) (72)
- Boundary Layer Stability¶in Real Vanishing Viscosity Limit (2001) (65)
- Large amplitude variations for the density of a compressible viscous fluid. (1991) (61)
- Spectral Stability of Periodic Solutions of Viscous Conservation Laws: Large Wavelength Analysis (2005) (61)
- PDEs and Continuum Models of Phase Transitions (1989) (58)
- L-Stability of Constants in a Model for Radiating Gases (2003) (54)
- Generic types and transitions in hyperbolic initial–boundary-value problems (2002) (51)
- Geometric structures, oscillations, and initial-boundary value problems (2000) (51)
- Hyperbolicity of the Nonlinear Models of Maxwell’s Equations (2004) (50)
- Convergence of a relaxation scheme for hyperbolic systems of conservation laws (2001) (50)
- Richness and the Classification of Quasilinear Hyperbolic Systems (1991) (47)
- Chapter 7 L1-stability of nonlinear waves in scalar conservation laws (2002) (47)
- Unstable Godunov Discrete Profiles for Steady Shock Waves (1998) (45)
- Shock Reflection in Gas Dynamics (2007) (42)
- Shock waves for radiative hyperbolic-elliptic systems (2006) (38)
- Experimental and theoretical study of diffraction properties of various crystals for the realization of a soft gamma-ray Laue lens (2009) (37)
- The structure of dissipative viscous system of conservation laws (2010) (36)
- Instabilities in Glimm's scheme for two systems of mixed type (1988) (30)
- High resolution imaging with Fresnel interferometric arrays: suitability for exoplanet detection (2005) (30)
- $L^2$-type contraction for systems of conservation laws (2014) (30)
- The generalized Riemann problem for the motion of elastic strings (1992) (29)
- About the relative entropy method for hyperbolic systems of conservation laws (2014) (28)
- Divergence-free positive symmetric tensors and fluid dynamics (2017) (28)
- Les invariants du premier ordre de l'equation d'euler en dimension trois (1984) (27)
- EXPANSION OF A COMPRESSIBLE GAS IN VACUUM (2015) (27)
- L 1-stability of nonlinear waves in scalar conservation laws (2004) (27)
- The fresnel interferometric imager (2009) (24)
- Plane waves in nonlinear electromagnetism (1988) (22)
- Systems of Conservation Laws: A Challenge for the XXIst Century (2001) (22)
- Modeling the spatial PSF at the VLT focal plane for MUSE WFM data analysis purpose (2010) (22)
- Correctors for the homogenization of conservation laws with oscillatory forcing terms (1992) (21)
- Nonvanishing singular parts of measure valued solutions for scalar hyperbolic equations (1991) (21)
- Preface "Natural hazard resilient cities" (2013) (19)
- Numerical Measure of a Complex Matrix (2010) (19)
- X-ray sources and their optical counterparts in the globular cluster M 22 (2004) (19)
- Multi-dimensional Burgers Equation with Unbounded Initial Data: Well-Posedness and Dispersive Estimates (2018) (18)
- Hyperbolicity, entropies, shock waves (1999) (18)
- Systems of Conservation Laws 2: Geometric Structures, Oscillations and Mixed Problems (2001) (17)
- Discrete Shock Profiles: Existence and Stability (2007) (17)
- Compensated integrability. Applications to the Vlasov–Poisson equation and other models in mathematical physics (2018) (17)
- Von Neumann’s comments about existence and uniqueness for the initial-boundary value problem in gas dynamics (2009) (16)
- Fresnel Interferometric Imager: ground-based prototype. (2009) (16)
- The relative entropy method for the stability of intermediate shock waves; the rich case (2016) (16)
- First high dynamic range and high resolution images of the sky obtained with a diffractive Fresnel array telescope (2012) (16)
- Second order initial boundary-value problems of variational type (2006) (15)
- Sur une equation fonctionnelle (1993) (15)
- A Model of a Plug-Chain System Near the Thermodynamic Critical Point: Connection with the Korteweg Theory of Capillarity and Modulation Equations (1995) (14)
- PSF estimation of hyperspectral data acquisition system for ground-based astrophysical observations (2011) (14)
- Viscous System of Conservation Laws: Singular Limits (2011) (14)
- R and D progress on second-generation crystals for Laue lens applications (2007) (13)
- Local existence for viscous system of conservation laws : H s-data with s > 1 + d / 2 (13)
- Note on a paper by Robinet, Gressier, Casalis & Moschetta (2002) (13)
- Discrete Shock Profiles and Their Stability (1999) (13)
- Linear stability of shock profiles for a rate-type viscoelastic system with relaxation (1998) (12)
- The L1-Stability of Boundary Layers for Scalar Viscous Conservation Laws (2001) (11)
- Fast-slow dynamics for parabolic perturbations of conservation laws (1996) (11)
- The Fresnel imager: instrument numerical model (2011) (10)
- Helicity and other conservation laws in perfect fluid motion (2018) (9)
- Asymptotics of homogeneous oscillations in a compressible viscous fluid (2001) (9)
- Hyperbolic Problems: Theory, Numerics, Applications (2008) (8)
- Long-time Stability in Systems of Conservation Laws, Using Relative Entropy/Energy (2016) (8)
- Vulnerability assessment of the concrete tanks storage at natural hazards (2011) (8)
- THE CAUCHY PROBLEM FOR QUASILINEAR SYSTEMS (2006) (8)
- The reverse Hlawka inequality in a Minkowski space (2015) (7)
- On the upper semicontinuity of a quasiconcave functional (2019) (7)
- Nonlinear Hyperbolic–Elliptic Coupled Systems Arising in Radiation Dynamics (2008) (7)
- Hard Spheres Dynamics: Weak Vs Strong Collisions (2021) (7)
- Fresnel interferometric arrays for space-based imaging: testbed results (2007) (7)
- The MUSE project from the dream toward reality (2010) (7)
- ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO CONSERVATION LAWS WITH PERIODIC FORCING (2006) (6)
- THREE-DIMENSIONAL INTERACTION OF SHOCKS IN IRROTATIONAL FLOWS (2011) (6)
- The Fresnel interferometric imager (2009) (6)
- The Fresnel Imager: learning from ground-based generation I prototype (2011) (6)
- Transition to Instability of Planar Viscous Shock Fronts: the Refined Stability Condition (2008) (6)
- Field-resolution ratio progresses for interferometric arrays (2004) (5)
- Multiwavelength focusing with the Sun as gravitational lens (2006) (5)
- PDEs and continuum models of phase transitions : proceedings of an NSF-CNRS joint seminar held in Nice, France, January 18-22, 1988 (1989) (5)
- Five open problems in compressible mathematical fluid dynamics (2013) (5)
- Hyperbolicity of the non-linear models of Maxwell's equations (2003) (5)
- Gradient estimate in terms of a Hilbert-like distance, for minimal surfaces and Chaplygin gas (2016) (4)
- Hyperbolic Systems of Balance Laws: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14-21, 2003 (2007) (4)
- The stability of constant equilibrium states in relaxation models (2002) (4)
- What Are Matrices (2010) (4)
- Solvability of Hyperbolic IBVPs Through Filtering (2005) (4)
- On the {$L\sp 2$}-well posedness of an initial boundary value problem for the 3D linear elasticity (2005) (4)
- Hyperbolic problems : theory, numerics, applications : proceedings of the Eleventh International Conference on Hyperbolic Problems held in Ecole Normale Supérieure, Lyon, July 17-21, 2006 (2008) (4)
- Existence of solutions for a class of hyperbolic systems of p conservation laws (p ≥ 3) (1993) (4)
- Periodic homogenization in terms of differential forms (2017) (3)
- Discrete shock pro les and their stabilityDenis (3)
- The incompleteness of the Born-Infeld model for non-linear multi-d Maxwell’s equations (2005) (3)
- Estimating the number and the strength of collisions in molecular dynamics (2019) (3)
- The hyperbolic/elliptic transition in the multi-dimensional riemann problem (2013) (3)
- Matrix Factorizations and Their Applications (2010) (3)
- Multi-dimensional scalar conservation laws with unbounded integrable initial data (2018) (3)
- A remark on Y. Brenier's approach to Born-Infeld electro-magnetic fields (2004) (2)
- Radiographic stent for a quick and precise bone height analysis. (2000) (2)
- Non-linear electromagnetism and special relativity (2008) (2)
- A RESULT OF L 2 -WELL POSEDNESS CONCERNING THE SYSTEM OF LINEAR ELASTICITY IN 2D ⁄ (2005) (2)
- Multi-dimensional Systems of Conservation Laws: An Introductory Lecture (2014) (2)
- Weyl and Lidskiĭ inequalities for general hyperbolic polynomials (2009) (2)
- About the Young measures associated with Y. Brenier's ABI model (2014) (2)
- Urban flood risk mitigation: from vulnerability assessment to resilient city (2009) (2)
- ON THE L 2-WELL POSEDNESS OF AN INITIAL BOUNDARY VALUE PROBLEM FOR THE 3 D LINEAR ELASTICITY ∗ (2005) (1)
- Asymptotic stability of scalar multi-D inviscid shock waves (2021) (1)
- Nonlinear hyperbolic problems : proceedings of an advanced research workshop, held in St. Etienne, France, January 13-17, 1986 (1987) (1)
- Fresnel interferometric arrays: principle and exploitation (2006) (1)
- Matrices : Theory & Applications Solutions to the exercises (2002) (1)
- Source-Solutions for the Multi-dimensional Burgers Equation (2020) (1)
- Systems of conservation laws. Theory, Numerical approximation and Discrete shock profiles (2007) (1)
- Hard spheres dynamics: weak vs hard collisions (2020) (1)
- Shock Layers Interactions for a Relaxation Approximation to Conservation Laws (1999) (1)
- A Priori Estimates from First Principles in Gas Dynamics (2021) (1)
- Shock waves, shock profiles and stability (1998) (1)
- Matrices with Real or Complex Entries (2010) (1)
- Symmetric Divergence-free tensors in the Calculus of Variations (2021) (1)
- Irrotational flows for Chaplygin gas. Conical waves (2010) (0)
- Systems of Conservation Laws 1: Viscosity profiles for shock waves (1999) (0)
- Plateau sidewalks with centralizers bombs and custard for the realization of such a plate (2010) (0)
- THE CHARACTERISTIC IBVP (2006) (0)
- CONSTRUCTION OF A SYMMERTRIZER UNDER (UKL) (2006) (0)
- Tensor and Exterior Products (2010) (0)
- PERSISTENCE OF MULTIDIMENSIONAL SHOCKS (2006) (0)
- Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics (2022) (0)
- A CLASSIFICATION OF LINEAR IBVPs (2006) (0)
- SHOCK STABILITY IN GAS DYNAMICS (2006) (0)
- THE HOMOGENEOUS IBVP (2006) (0)
- A General Study of a Commutation Relation Given by L. Tartar (1986) (0)
- : Preface “ Natural hazard resilient cities ” 0 20 40 60 80 100 120 140 160 1990 1995 2000 2005 2010 Years (0)
- Irrotational flows for Chaplygin gas . Conical waves Denis Serre ∗ October 15 , 2010 1 Steady and self-similar flows of a compressible gas (2010) (0)
- Source-Solutions for the Multi-dimensional Burgers Equation (2020) (0)
- INTIAL BOUNDARY VALUE PROBLEM IN A HALF-SPACE WITH CONSTANT COEEFICIENTS (2006) (0)
- Expansion of an isentropic gas into vacuum (2016) (0)
- L-type contraction for systems of conservation laws (2013) (0)
- LINEAR CAUCHY PROBLEM WITH VARIABLE COEFFICIENTS (2006) (0)
- Approximation of Eigenvalues (2010) (0)
- [Cast crown-root reconstructions]. (1987) (0)
- Second order perturbations (1999) (0)
- First high dynamic range and high resolution images of the sky obtained with a diffractive Fresnel array telescope (2011) (0)
- THE EULER EQUATIONS FOR REAL FLUIDS (2006) (0)
- Projective Properties of Divergence-Free Symmetric Tensors, and New Dispersive Estimates in Gas Dynamics (2021) (0)
- L 2-type Lyapunov functions for hyperbolic scalar conservation laws (2021) (0)
- The role of the Hilbert metric in a class of singular elliptic boundary value problem in convex domains (2017) (0)
- On the L 2 -Well Posedness of an Initial Boundary Value Problem for the Linear Elasticity in Two and Three Space Dimensions (2008) (0)
- LINEAR CAUCHY PROBLEM WITH CONSTANT COEFFICIENTS (2006) (0)
- Long-time Stability in Systems of Conservation Laws, Using Relative Entropy/Energy (2015) (0)
- Linear and quasi-linear systems (1999) (0)
- Dimension d = 1, the Riemann problem (1999) (0)
- Non-commutative standard polynomials applied to matrices (2016) (0)
- Matrices with Entries in a Principal Ideal Domain; Jordan Reduction (2010) (0)
- Scalar equations in dimension d = 1 (1999) (0)
- Study of a nonlinear 4th dimension combustion system and general: to a 2nd degree class of homogeneous problems (1986) (0)
- [Partial crowns]. (1987) (0)
- THE MIXED PROBLEM FOR QUASILINEAR SYSTEMS (2006) (0)
- [Fixed prosthesis. Impressions]. (1980) (0)
- EXPANSION OF A COMPRESSIBLE GAS IN VACUUM DENIS SERRE (2015) (0)
- Exponential of a Matrix, Polar Decomposition, and Classical Groups (2010) (0)
- [Electron microscopy study of the structure of 2 non-precious dental alloys]. (1985) (0)
- FRIEDRICHS-SYMMETRIC DISSIPATIVE IBVPs (2006) (0)
- Global-intime Cauchy problem for Euler – Fourier system (2012) (0)
- VARIABLE-COEFFICIENTS INITIAL BOUNDARY VALUE PROBLEMS (2006) (0)
- L'´ equation d'Euler des fluides parfaits Que sait-on ? Que cherche-t-on ? (2007) (0)
- Iterative Methods for Linear Systems (2021) (0)
- A P ] 2 1 Fe b 20 20 Hard spheres dynamics : weak vs strong collisions (2020) (0)
- Waves in Systems of Conservation Laws: Large vs Small Scales (2006) (0)
- Boite a centering bombs and custard for the realization of such a box (2012) (0)
- Elementary Linear and Multilinear Algebra (2010) (0)
- Square Matrices (0)
- The Glimm scheme (1999) (0)
- Systèmes de lois de conservation hyperbolique-elliptique Hyperbolic-elliptic systems of conservation laws ? (2004) (0)
- Book review: “Shock Waves” by Tai-Ping Liu (2022) (0)
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