Michael Winkler
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Michael Winkler's Degrees
- PhD Mathematics Stanford University
- Masters Mathematics Stanford University
- Bachelors Mathematics Stanford University
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(Suggest an Edit or Addition)Michael Winkler'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
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model (2010) (859)
- Boundedness vs. blow-up in a chemotaxis system (2005) (765)
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues (2015) (698)
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system (2011) (695)
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity (2011) (573)
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source (2010) (562)
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops (2012) (474)
- A Chemotaxis System with Logistic Source (2007) (466)
- Stabilization in a two-dimensional chemotaxis-Navier–Stokes system (2014) (317)
- Global weak solutions in a three-dimensional chemotaxis–Navier–Stokes system (2016) (261)
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction (2011) (258)
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant (2012) (258)
- Does a ‘volume‐filling effect’ always prevent chemotactic collapse? (2010) (252)
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening (2014) (225)
- Finite-time blow-up in a quasilinear system of chemotaxis (2008) (212)
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect (2010) (210)
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion (2013) (208)
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics (2016) (206)
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity (2015) (199)
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system? (2015) (198)
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source (2011) (197)
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion (2014) (187)
- Chemotaxis with logistic source : Very weak global solutions and their boundedness properties (2008) (185)
- Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion (2012) (184)
- How Far Can Chemotactic Cross-diffusion Enforce Exceeding Carrying Capacities? (2014) (177)
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system (2015) (176)
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity (2011) (175)
- Absence of collapse in a parabolic chemotaxis system with signal‐dependent sensitivity (2010) (165)
- Stabilization in a two-species chemotaxis system with a logistic source (2012) (144)
- Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation (2018) (142)
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities (2015) (141)
- Energy-type estimates and global solvability in a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant (2014) (139)
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion (2015) (133)
- Competitive exclusion in a two-species chemotaxis model (2014) (126)
- A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization (2019) (120)
- Blow-up prevention by quadratic degradation in a two-dimensional Keller–Segel–Navier–Stokes system (2016) (115)
- Global weak solutions in a chemotaxis system with large singular sensitivity (2011) (111)
- A fourth-order parabolic equation modeling epitaxial thin film growth (2003) (108)
- Stabilization in a chemotaxis model for tumor invasion (2015) (106)
- CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL (2013) (101)
- A generalized solution concept for the Keller–Segel system with logarithmic sensitivity: global solvability for large nonradial data (2017) (96)
- Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity (2018) (93)
- Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms (2015) (92)
- A critical exponent in a degenerate parabolic equation (2002) (89)
- The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties (2016) (88)
- A critical blow-up exponent in a chemotaxis system with nonlinear signal production (2018) (86)
- Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals (2015) (85)
- Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production (2016) (81)
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system (2017) (80)
- Dominance of chemotaxis in a chemotaxis–haptotaxis model (2014) (78)
- Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement (2017) (73)
- A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up (2016) (73)
- Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems (2017) (67)
- Boundedness of solutions to parabolic–elliptic Keller–Segel systems with signal‐dependent sensitivity (2015) (67)
- Finite-time blow-up in a degenerate chemotaxis system with flux limitation (2017) (62)
- Blow-up prevention by logistic sources in a parabolic–elliptic Keller–Segel system with singular sensitivity (2014) (61)
- Renormalized radial large-data solutions to the higher-dimensional Keller–Segel system with singular sensitivity and signal absorption (2018) (60)
- Boundedness and stabilization in a multi-dimensional chemotaxis—haptotaxis model (2014) (60)
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation (2017) (59)
- Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems? (2019) (57)
- Occurrence vs. Absence of Taxis-Driven Instabilities in a May-Nowak Model for Virus Infection (2019) (56)
- Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components (2018) (56)
- Persistence of mass in a chemotaxis system with logistic source (2015) (54)
- Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization (2018) (53)
- Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity? (2018) (51)
- Global Regularity versus Infinite-Time Singularity Formation in a Chemotaxis Model with Volume-Filling Effect and Degenerate Diffusion (2012) (47)
- The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1 (2019) (45)
- The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system (2018) (44)
- Global classical solvability and generic infinite-time blow-up in quasilinear Keller–Segel systems with bounded sensitivities (2019) (41)
- Facing Low Regularity in Chemotaxis Systems (2020) (39)
- Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates (2015) (39)
- Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy (2020) (38)
- Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity (2017) (37)
- Convergence Rate for a Parabolic Equation with Supercritical Nonlinearity (2005) (36)
- Optimal lower bound of the grow-up rate for a supercritical parabolic equation (2006) (33)
- Small-Mass Solutions in the Two-Dimensional Keller-Segel System Coupled to the Navier-Stokes Equations (2020) (33)
- Grow-up rate of solutions for a supercritical semilinear diffusion equation (2004) (33)
- Global bounded solutions in a two-dimensional quasilinear Keller–Segel system with exponentially decaying diffusivity and subcritical sensitivity (2017) (33)
- Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth (2011) (33)
- Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food (2019) (33)
- Stabilization in a higher-dimensional quasilinear Keller–Segel system with exponentially decaying diffusivity and subcritical sensitivity (2017) (32)
- Stabilization in the logarithmic Keller–Segel system (2018) (32)
- Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions (2020) (32)
- Initial blow-up rates and universal bounds for nonlinear heat equations (2004) (31)
- Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions (2019) (29)
- Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$n≥3 (2018) (28)
- Approaching the Ideal Free Distribution in Two-Species Competition Models with Fitness-Dependent Dispersal (2014) (28)
- Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation (2011) (28)
- A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy (2020) (27)
- Blow-up of solutions to a degenerate parabolic equation not in divergence form (2003) (27)
- How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases (2018) (27)
- Singular structure formation in a degenerate haptotaxis model involving myopic diffusion (2017) (26)
- The fast signal diffusion limit in Keller–Segel(-fluid) systems (2018) (26)
- Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary (2021) (26)
- Amorphous molecular beam epitaxy: global solutions and absorbing sets (2005) (26)
- A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production (2019) (25)
- Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation (2019) (25)
- Singularity formation in chemotaxis systems with volume-filling effect (2011) (25)
- Nonuniqueness in the quenching problem (2007) (23)
- Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation (2020) (22)
- Global weak solutions to a strongly degenerate haptotaxis model (2016) (21)
- Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system (2020) (21)
- Blow-up in a degenerate parabolic equation (2004) (21)
- $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation (2021) (21)
- Anisotropic diffusion in oriented environments can lead to singularity formation (2012) (21)
- Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction (2021) (20)
- Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension (2019) (19)
- Slow convergence to zero for a parabolic equation with a supercritical nonlinearity (2007) (19)
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision (2022) (19)
- A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation (2021) (18)
- Some results on degenerate parabolic equations not in divergence form (2000) (18)
- A critical virus production rate for efficiency of oncolytic virotherapy (2020) (18)
- Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity (2018) (18)
- Reaction-Driven Relaxation in Three-Dimensional Keller–Segel–Navier–Stokes Interaction (2021) (17)
- The Evolution of Singularities in Fast Diffusion Equations: Infinite-Time Blow-Down (2011) (17)
- Well-posedness and qualitative properties of a dynamical model for the ideal free distribution (2014) (17)
- Reduction of critical mass in a chemotaxis system by external application of chemoattractant (2013) (17)
- Global solvability and explicit bounds for non-local adhesion models (2017) (16)
- On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime (2019) (16)
- Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation (2020) (16)
- Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions n≥3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{ (2018) (16)
- Rate of convergence to a singular steady state of a supercritical parabolic equation (2008) (15)
- Highly time-oscillating solutions for very fast diffusion equations (2011) (15)
- Convergence to a singular steady state of a parabolic equation with gradient blow-up (2007) (15)
- How strong singularities can be regularized by logistic degradation in the Keller–Segel system? (2019) (15)
- Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities? (2020) (15)
- Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model (2017) (15)
- Global existence for a nonlocal and nonlinear Fokker–Planck equation (2015) (14)
- A critical blow-up exponent for flux limiation in a Keller-Segel system (2020) (14)
- Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains (2018) (13)
- A Continuum of Extinction Rates for the Fast Diffusion Equation (2010) (13)
- Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? (2022) (13)
- Chemotactic cross-diffusion in complex frameworks (2016) (13)
- Boundedness and stabilization in a population model with cross‐diffusion for one species (2019) (12)
- On the Cauchy Problem for a Degenerate Parabolic Equation (2001) (12)
- Linear behaviour of solutions of a superlinear heat equation (2008) (12)
- Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation (2021) (12)
- Refined asymptotics for entire solutions of a biharmonic equation with a supercritical nonlinearity (2010) (12)
- Large time behavior in a predator-prey system with indirect pursuit-evasion interaction (2017) (11)
- Convergence to self-similar solutions for a semilinear parabolic equation (2008) (11)
- Grow-up rate of solutions of a semilinear parabolic equation with a critical exponent (2007) (11)
- Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities (2022) (11)
- Suppressing blow-up by gradient-dependent flux limitation in a planar Keller–Segel–Navier–Stokes system (2021) (11)
- Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy (2020) (11)
- Mathematical analysis of a model of chemotaxis arising from morphogenesis (2012) (11)
- Large Time Behavior and Stability of Equilibria of Degenerate Parabolic Equations (2005) (10)
- Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System (2020) (10)
- Large time behavior of solutions to degenerate parabolic equations with absorption (2001) (10)
- A doubly critical degenerate parabolic problem (2004) (10)
- Global Weak Solutions and Absorbing Sets in a Chemotaxis-Navier-Stokes System with Prescribed Signal Concentration on the Boundary (2021) (10)
- A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion (2022) (10)
- Optimal rates of convergence to the singular Barenblatt profile for the fast diffusion equation (2016) (10)
- A strongly degenerate diffusion equation with strong absorption (2004) (9)
- Slow growth of solutions of superfast diffusion equations with unbounded initial data (2016) (9)
- Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption (2020) (9)
- The influence of space dimension on the large-time behavior in a reaction–diffusion system modeling diallelic selection (2011) (9)
- Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow (2020) (9)
- Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime (2021) (9)
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system (2015) (9)
- Stabilization in a two-dimensional chemotaxis-Navier–Stokes system (2013) (8)
- Rate of convergence to separable solutions of the fast diffusion equation (2014) (8)
- Quenching phenomena in strongly degenerate diffusion equations with strong absorption (2003) (8)
- Oscillating Solutions and Large ω-limit Sets in a Degenerate Parabolic Equation (2008) (8)
- Single-point blow-up in the Cauchy problem for the higher-dimensional Keller–Segel system (2020) (8)
- Does repulsion-type directional preference in chemotactic migration continue to regularize Keller–Segel systems when coupled to the Navier–Stokes equations? (2019) (8)
- Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities (2021) (8)
- On a Degenerate Nonlocal Parabolic Problem Describing Infinite Dimensional Replicator Dynamics (2015) (8)
- Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing (2022) (8)
- Taxis-driven Formation of Singular Hotspots in a May-Nowak Type Model for Virus Infection (2021) (7)
- Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal (2021) (7)
- Unlimited growth in logarithmic Keller-Segel systems (2022) (7)
- Application of the Moser-Trudinger inequality in the construction of global solutions to a strongly degenerate migration model (2022) (7)
- Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation (2020) (7)
- Finite time vs. infinite time gradient blow-up in a degenerate diffusion equation (2008) (7)
- Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity (2021) (7)
- Instantaneous regularization of distributions from(C0)⋆×L2in the one-dimensional parabolic Keller–Segel system (2019) (7)
- Grow-up on the Boundary for a Semilinear Parabolic Problem (2005) (7)
- A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients (2022) (6)
- Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities (2022) (6)
- Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary (2021) (6)
- Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings (2022) (6)
- Boundedness vs. blow-up in a degenerate diffusion equation with gradient nonlinearity (2007) (6)
- A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation (2017) (6)
- Boundedness in a two-dimensional Keller–Segel–Navier–Stokes system involving a rapidly diffusing repulsive signal (2019) (6)
- Very slow grow-up of solutions of a semi-linear parabolic equation (2011) (5)
- A Degenerate Fourth-Order Parabolic Equation Modeling Bose-Einstein Condensation Part II: Finite-Time Blow-Up (2014) (5)
- Classification of large-time behaviors in a reaction-diffusion system modeling diallelic selection. (2012) (5)
- Spatially monotone homoclinic orbits in nonlinear parabolic equations of super-fast diffusion type (2013) (5)
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity (2015) (5)
- A Singular Differential Equation Stemming from an Optimal Control Problem in Financial Economics (2012) (5)
- Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow (2020) (5)
- A Smallness Condition Ensuring Boundedness in a Two-dimensional Chemotaxis-Navier—Stokes System involving Dirichlet Boundary Conditions for the Signal (2022) (5)
- Instantaneous shrinking of the support in degenerate parabolic equations with strong absorption (2004) (5)
- Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more) (2019) (5)
- Universal bounds for global solutions of a forced porous medium equation (2004) (4)
- Chemotaxis systems in complex frameworks: Pattern formation, qualitative analysis and blowup prevention (2020) (4)
- The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis (2021) (4)
- Migration-driven benefit in a two-species nutrient taxis system (2018) (4)
- A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system (2021) (4)
- Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed (2008) (4)
- Nonnegative solutions to a doubly degenerate nutrient taxis system (2021) (4)
- Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects (2021) (4)
- A family of mass‐critical Keller–Segel systems (2022) (4)
- Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities (2022) (4)
- A Degenerate Fourth-Order Parabolic Equation Modeling Bose–Einstein Condensation. Part I: Local Existence of Solutions (2014) (4)
- Nontrivial ordered ω-limit sets in a linear degenerate parabolic equation (2007) (4)
- Propagation versus constancy of support in the degenerate parabolic equation $u_t=f(u)\Delta u$ (2004) (4)
- Refined regularity and stabilization properties in a degenerate haptotaxis system (2020) (4)
- Blow-up versus boundedness in a nonlocal and nonlinear Fokker--Planck equation (2012) (4)
- Infinite-Time Quenching in a Fast Diffusion Equation with Strong Absorption (2009) (4)
- Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments (2022) (4)
- Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation (2012) (3)
- Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? (2020) (3)
- Finite-time blow-up in the fully parabolic Keller-Segel system (2014) (3)
- BOUNDARY BEHAVIOR IN STRONGLY DEGENERATE PARABOLIC EQUATIONS (2003) (3)
- The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system (2017) (3)
- Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation (2014) (3)
- Conservation of boundary decay and nonconvergent bounded gradients in degenerate diffusion problems (2008) (3)
- Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction (2023) (3)
- Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension (2023) (3)
- Global weak solutions to a chemotaxis-Navier-Stokes system in $ \mathbb{R}^3 $ (2022) (3)
- Spatially monotone homoclinic orbits in nonlinear parabolic equations of super-fast diffusion type (2012) (2)
- Finite-time blow-up in a repulsive chemotaxis-consumption system (2022) (2)
- Cross-diffusion models: Analytic and multiscale problems (2018) (2)
- NONUNIQUENESS IN STRONGLY DEGENERATE DIFFUSION EQUATIONS WITH STRONG ABSORPTION (2005) (2)
- A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System (2022) (2)
- Convergence of solutions of a semilinear parabolic equation to selfsimilar solutions of the linear heat equation (2008) (2)
- One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity (2018) (2)
- Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory (2018) (1)
- Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers (2022) (1)
- ASYMPTOTIC LARGE TIME BEHAVIOR OF SINGULAR SOLUTIONS OF THE FAST DIFFUSION EQUATION (2017) (1)
- Approaching Critical Decay in a Strongly Degenerate Parabolic Equation (2020) (1)
- The evolution of dead cores in strongly degenerate diffusion problems (2008) (1)
- Infinite-time gradient blow-up in a degenerate parabolic equation (2012) (1)
- One-Dimensional Super-Fast Diffusion: Persistence Versus Extinction Revisited—Extinction at Spatial Infinity (2017) (1)
- Correction to: Approaching Critical Decay in a Strongly Degenerate Parabolic Equation (2021) (0)
- Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components (2018) (0)
- Analysis of a chemotaxis-SIS epidemic model with unbounded infection force (2023) (0)
- Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar (2022) (0)
- Analysis of a one-dimensional forager-exploiter model (2019) (0)
- Well-posedness and qualitative properties of a dynamical model for the ideal free distribution (2013) (0)
- Erratum to: A Singular Differential Equation Stemming from an Optimal Control Problem in Financial Economics (2017) (0)
- Correction to: Approaching Critical Decay in a Strongly Degenerate Parabolic Equation (2021) (0)
- Correction to: Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? (2021) (0)
- How strong singularities can be regularized by logistic degradation in the Keller–Segel system? (2019) (0)
- Global existence for a nonlocal and nonlinear Fokker–Planck equation (2014) (0)
- Exponential grow-up rates in a quasilinear Keller–Segel system (2022) (0)
- How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases (2018) (0)
- Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow (2020) (0)
- A Singular Differential Equation Stemming from an Optimal Control Problem in Financial Economics (2013) (0)
- Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? (2020) (0)
- On the Keller-Segel System with External Application of Chemoattractant (2010) (0)
- A generalized solution concept for the Keller–Segel system with logarithmic sensitivity: global solvability for large nonradial data (2017) (0)
- Boundedness vs . blow-up in the Keller-Segel system (2012) (0)
- Mini-Workshop: Mathematical Models for Cancer Cell Migration (2015) (0)
- Blow-up prevention by quadratic degradation in a two-dimensional Keller–Segel–Navier–Stokes system (2016) (0)
- Rate of convergence to separable solutions of the fast diffusion equation (2016) (0)
- A degenerate chemotaxis system with flux limitation: Finite-time blow-up (2016) (0)
- Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects (2022) (0)
- Boundedness and exponential stabilization in a signal transduction model with diffusion (2008) (0)
- Stabilization of solutions of a semilinear parabolic equation modelling quorum sensing in a biofilm (2009) (0)
- Arbitrarily fast grow-up rates in quasilinear Keller-Segel systems (2022) (0)
- Taxis-driven persistent localization in a degenerate Keller-Segel system (2022) (0)
- A degenerate chemotaxis system with flux limitation: Local and global existence and absence of gradient blow-up (?) (2016) (0)
- Phenotype switching in chemotaxis aggregation models controls the spontaneous emergence of large densities (2022) (0)
- Depleting the signal: Analysis of chemotaxis-consumption models -- A survey (2023) (0)
- Erratum to: A Singular Differential Equation Stemming from an Optimal Control Problem in Financial Economics (2016) (0)
- A Degenerate Fourth-Order Parabolic Equation Modeling Bose–Einstein Condensation. Part I: Local Existence of Solutions (2015) (0)
- Preface: Analysis of cross-diffusion systems (2020) (0)
- Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity? (2018) (0)
- Slow Grow-up in a Quasilinear Keller–Segel System (2022) (0)
- Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation (2018) (0)
- Boundedness in a Chemotaxis-May-Nowak Model for Virus Dynamics with Mildly Saturated Chemotactic Sensitivity (2018) (0)
- Oscillatory decay in a degenerate parabolic equation (2022) (0)
- How Far Can Chemotactic Cross-diffusion Enforce Exceeding Carrying Capacities? (2014) (0)
- Competitive exclusion in a two-species chemotaxis model (2013) (0)
- Facing Low Regularity in Chemotaxis Systems (2019) (0)
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