Works matching AU Perthame, Benoît
Results: 55
TWO-DIMENSIONAL KELLER-SEGEL MODEL: OPTIMAL CRITICAL MASS AND QUALITATIVE PROPERTIES OF THE SOLUTIONS.
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- Electronic Journal of Differential Equations, 2006, v. 2006, p. 1
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Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations.
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- Networks & Heterogeneous Media, 2019, v. 14, n. 1, p. 23, doi. 10.3934/nhm.2019002
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ANALYSIS OF A SIMPLIFIED MODEL OF THE URINE CONCENTRATION MECHANISM.
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- Networks & Heterogeneous Media, 2012, v. 7, n. 4, p. 989, doi. 10.3934/nhm.2012.7.989
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Wasserstein contraction for the stochastic Morris-Lecar neuron model.
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- Kinetic & Related Models, 2025, v. 18, n. 1, p. 1, doi. 10.3934/krm.2024009
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ON INTERFACES BETWEEN CELL POPULATIONS WITH DIFFERENT MOBILITIES.
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- Kinetic & Related Models, 2017, v. 10, n. 1, p. 299, doi. 10.3934/krm.2017012
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Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates.
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- Communications on Pure & Applied Mathematics, 1996, v. 49, n. 6, p. 599, doi. 10.1002/(SICI)1097-0312(199606)49:6<599::AID-CPA2>3.0.CO;2-5
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Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation.
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- Journal of Mathematical Neuroscience, 2014, v. 4, p. 1, doi. 10.1186/2190-8567-4-14
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Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2005, v. 135, n. 2, p. 253, doi. 10.1017/S0308210500003863
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Final size and convergence rate for an epidemic in heterogeneous populations.
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- Mathematical Models & Methods in Applied Sciences, 2021, v. 31, n. 5, p. 1021, doi. 10.1142/S0218202521500251
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Competition and boundary formation in heterogeneous media: Application to neuronal differentiation.
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- Mathematical Models & Methods in Applied Sciences, 2015, v. 25, n. 13, p. 2477, doi. 10.1142/S0218202515400151
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Oscillatory regimes in a mosquito population model with larval feedback on egg hatching.
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- Journal of Biological Dynamics, 2019, v. 13, n. 1, p. 269, doi. 10.1080/17513758.2019.1593524
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Global Existence for a Kinetic Model of Chemotaxis via Dispersion and Strichartz Estimates.
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- Communications in Partial Differential Equations, 2008, v. 33, n. 1, p. 79, doi. 10.1080/03605300601188474
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Modeling the Effects of Space Structure and Combination Therapies on Phenotypic Heterogeneity and Drug Resistance in Solid Tumors.
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- Bulletin of Mathematical Biology, 2015, v. 77, n. 1, p. 1, doi. 10.1007/s11538-014-0046-4
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Stability Analysis of a Simplified Yet Complete Model for Chronic Myelogenous Leukemia.
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- Bulletin of Mathematical Biology, 2010, v. 72, n. 7, p. 1732, doi. 10.1007/s11538-009-9500-0
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Adaptive dynamics of hematopoietic stem cells and their supporting stroma: a model and mathematical analysis.
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- Mathematical Biosciences & Engineering, 2019, v. 16, n. 5, p. 4818, doi. 10.3934/mbe.2019243
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A Hamilton-Jacobi approach to evolution of dispersal.
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- Communications in Partial Differential Equations, 2023, v. 48, n. 1, p. 86, doi. 10.1080/03605302.2022.2139723
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A two-species hyperbolic–parabolic model of tissue growth.
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- Communications in Partial Differential Equations, 2019, v. 44, n. 12, p. 1605, doi. 10.1080/03605302.2019.1650064
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Bernoulli Variational Problem and Beyond.
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- Archive for Rational Mechanics & Analysis, 2014, v. 212, n. 2, p. 415, doi. 10.1007/s00205-013-0707-8
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The Hele-Shaw Asymptotics for Mechanical Models of Tumor Growth.
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- Archive for Rational Mechanics & Analysis, 2014, v. 212, n. 1, p. 93, doi. 10.1007/s00205-013-0704-y
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Asymmetric Potentials and Motor Effect: A Large Deviation Approach.
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- Archive for Rational Mechanics & Analysis, 2009, v. 193, n. 1, p. 153, doi. 10.1007/s00205-008-0198-1
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Addendum to: “Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws”.
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- Archive for Rational Mechanics & Analysis, 2004, v. 174, n. 3, p. 443, doi. 10.1007/s00205-004-0338-1
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Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws.
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- Archive for Rational Mechanics & Analysis, 2003, v. 170, n. 4, p. 359, doi. 10.1007/s00205-003-0282-5
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ON A VOLTAGE-CONDUCTANCE KINETIC SYSTEM FOR INTEGRATE & FIRE NEURAL NETWORKS.
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- Kinetic & Related Models, 2013, v. 6, n. 4, p. 841, doi. 10.3934/krm.2013.6.841
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NONLINEAR STABILITY OF A VLASOV EQUATION FOR MAGNETIC PLASMAS.
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- Kinetic & Related Models, 2013, v. 6, n. 2, p. 269, doi. 10.3934/krm.2013.6.269
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Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience.
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- Discrete & Continuous Dynamical Systems: Series A, 2023, v. 43, n. 3/4, p. 1, doi. 10.3934/dcds.2022136
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WAVES FOR A HYPERBOLIC KELLER-SEGEL MODEL AND BRANCHING INSTABILITIES.
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- Mathematical Models & Methods in Applied Sciences, 2011, v. 21, p. 825, doi. 10.1142/S0218202511005386
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Stability in a Nonlinear Population Maturation Model.
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- Mathematical Models & Methods in Applied Sciences, 2002, v. 12, n. 12, p. 1751, doi. 10.1142/S021820250200232X
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The flux limited Keller-Segel system; properties and derivation from kinetic equations.
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- Revista Mathematica Iberoamericana, 2020, v. 36, n. 2, p. 357, doi. 10.4171/RMI/1132
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Survival thresholds and mortality rates in adaptive dynamics: conciliating deterministic and stochastic simulations.
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- Mathematical Medicine & Biology: A Journal of the IMA, 2010, v. 27, n. 3, p. 195, doi. 10.1093/imammb/dqp018
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Backward Parabolicity, Cross-Diffusion and Turing Instability.
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- Journal of Nonlinear Science, 2019, v. 29, n. 1, p. 139, doi. 10.1007/s00332-018-9480-z
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Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit.
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- Mathematical Modelling of Natural Phenomena, 2007, v. 2, n. 4, p. 135, doi. 10.1051/mmnp:2008029
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On the Limit Problem Arising in the Kinetic Derivation of a Cahn–Hilliard Equation.
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- Communications in Mathematical Physics, 2024, v. 405, n. 11, p. 1, doi. 10.1007/s00220-024-05142-z
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From Vlasov Equation to Degenerate Nonlocal Cahn-Hilliard Equation.
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- Communications in Mathematical Physics, 2023, v. 401, n. 1, p. 1033, doi. 10.1007/s00220-023-04663-3
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Long-Time Asymptotics for Polymerization Models.
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- Communications in Mathematical Physics, 2018, v. 363, n. 1, p. 111, doi. 10.1007/s00220-018-3218-5
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Super-linear propagation for a general, local cane toads model.
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- Interfaces & Free Boundaries, 2018, v. 20, n. 4, p. 483, doi. 10.4171/IFB/409
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A Model for Membrane Degradation Using a Gelatin Invadopodia Assay.
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- Bulletin of Mathematical Biology, 2024, v. 86, n. 3, p. 1, doi. 10.1007/s11538-024-01260-w
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Fast Reaction Limit with Nonmonotone Reaction Function.
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- Communications on Pure & Applied Mathematics, 2023, v. 76, n. 7, p. 1495, doi. 10.1002/cpa.22042
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Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States.
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- Archive for Rational Mechanics & Analysis, 2024, v. 248, n. 3, p. 1, doi. 10.1007/s00205-024-01990-0
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Hele–Shaw Limit for a System of Two Reaction-(Cross-)Diffusion Equations for Living Tissues.
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- Archive for Rational Mechanics & Analysis, 2020, v. 236, n. 2, p. 735, doi. 10.1007/s00205-019-01479-1
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Mathematical models of cell self-organization.
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- Journal of the Egyptian Mathematical Society, 2011, v. 19, n. 1/2, p. 52, doi. 10.1016/j.joems.2011.09.005
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MATHEMATICAL TOOLS FOR KINETIC EQUATIONS.
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- Bulletin (New Series) of the American Mathematical Society, 2004, v. 41, n. 2, p. 205, doi. 10.1090/S0273-0979-04-01004-3
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Incompressible Limits of the Patlak-Keller-Segel Model and Its Stationary State.
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- Acta Applicandae Mathematicae, 2023, v. 188, p. 1, doi. 10.1007/s10440-023-00622-1
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Incompressible Limits of the Patlak-Keller-Segel Model and Its Stationary State.
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- Acta Applicandae Mathematicae, 2023, v. 188, n. 1, p. 1, doi. 10.1007/s10440-023-00622-1
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Dynamics of Concentration in a Population Model Structured by Age and a Phenotypical Trait.
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- Acta Applicandae Mathematicae, 2018, v. 155, n. 1, p. 197, doi. 10.1007/s10440-017-0151-0
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Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway.
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- Journal of Mathematical Biology, 2016, v. 73, n. 5, p. 1161, doi. 10.1007/s00285-016-0985-5
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Direct competition results from strong competition for limited resource.
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- Journal of Mathematical Biology, 2014, v. 68, n. 4, p. 931, doi. 10.1007/s00285-013-0659-5
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Evolution of species trait through resource competition.
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- Journal of Mathematical Biology, 2012, v. 64, n. 7, p. 1189, doi. 10.1007/s00285-011-0447-z
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Derivation of hyperbolic models for chemosensitive movement.
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- Journal of Mathematical Biology, 2005, v. 50, n. 2, p. 189, doi. 10.1007/s00285-004-0286-2
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Analysis of a System Describing Proliferative-Quiescent Cell Dynamics.
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- Chinese Annals of Mathematics, 2018, v. 39, n. 2, p. 345, doi. 10.1007/s11401-018-1068-2
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Dirac concentrations in a chemostat model of adaptive evolution.
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- Chinese Annals of Mathematics, 2017, v. 38, n. 2, p. 513, doi. 10.1007/s11401-017-1081-x
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