BP
Benoit Perthame
math.APModels, Biologicalq-bio.CBq-bio.NCcs.NAmath.NAmath.PRq-bio.PEmath.MPmath-ph
On Valency
published · living versionsW_26jt8euu·v1 · currentpublished
An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations
with Jean Clairambault, Stephane Gaubert
1 version
Preprints & journals
133 papers in the corpus · 2005–2026Deriving subdiffusion equations from general Renewal--Jump dynamics2608.26740v1 · Benoit Perthame, MUSCLEES, Min Tang2026 · 0 citationsarXiv
Multiscale analysis of a kinetic equation for mechanotaxis2601.05532v2 · Benoit Perthame, Francesco Salvarani, Shugo Yasuda2026 · 0 citationsBull Math Biol 88, 143 (2026)
On a relaxed Cahn-Hilliard tumour growth model with single-well potential and degenerate mobility2512.15426v2 · Cecilia Cavaterra, Matteo Fornoni, Maurizio Grasselli et al.2025 · 0 citationsarXiv
Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes1512.06056v1 · Benjamin Gess, Benoit Perthame, Panagiotis E. Souganidis2015 · 16 citationsarXiv
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations1803.10629v2 · Lu'is Neves de Almeida, MAMBA, Federica Bubba (LJLL) et al.2018 · 40 citationsarXiv
Numerical Solution of an Inverse Problem in Size-Structured Population Dynamics0810.1381v1 · Marie Doumic Jauffret, Benoit Perthame, Jorge P. Zubelli (UCI)2008 · 64 citationsInverse Problems 25, 4 (2009) 045008
Stability Analysis of a Simplified Yet Complete Model for Chronic Myelegenous Leukemia0909.0637v1 · Marie Doumic Jauffret, Peter S. Kim, Benoit Perthame2009 · 22 citationsBulletin of Mathematical Biology 72, 7 (2010) 1732-1759
Multilinear multiplier theorems and their applications to the Jacobian and the Hessian determinant2605.10259v1 · Hoai-Minh Nguyen, Benoit Perthame2026 · 0 citationsarXiv
A stiff limit of non-homogeneous conservation laws for crowd motion modeling2605.02612v1 · Nicolas Masson, Benoit Perthame, Filippo Santambrogio2026 · 0 citationsarXiv
A Fokker-Planck equation with superlinear drift at infinity for Integrate-and-Fire model2601.19282v1 · Benoit Perthame, MUSCLEES, Cl'ement Rieutord et al.2026 · 0 citationsarXiv
Strongly nonlinear age-structured equation, time-elapsed model and large delays.41123680 · Perthame, Benoît, Rieutord, Clément, Salort, Delphine2025 · 2 citationsJournal of mathematical biology. 2025;91(5):65
Existence, regularity and stability in a strongly degenerate nonlinear diffusion and haptotaxis model of cancer invasion2412.18261v2 · Benoit Perthame, Chiara Villa2024 · 2 citationsarXiv
Monge-Kantorovich distance for PDEs: the coupling method1903.11349v2 · Nicolas Fournier (LPSM UMR 8001), Benoit Perthame (LJLL, MAMBA)2019 · 15 citationsarXiv
Deriving sub-diffusion equations2507.20602v1 · Benoit Perthame (LJLL (UMR\_7598), MUSCLEES), Min Tang2025 · 0 citationsarXiv
Strongly nonlinear age structured equation,time-elapsed model and large delays2503.09157v1 · Benoit Perthame (LJLL (UMR\_7598), MUSCLEES), Delphine Salort et al.2025 · 2 citationsarXiv
Noisy integrate-and-fire equation: continuation after blow-up2409.14749v1 · Xu'An Dou, Benoit Perthame (LJLL (UMR\_7598)), Delphine Salort (LCQB-MMB) et al.2024 · 0 citationsarXiv
A model for membrane degradation using a gelatin invadopodia assay2404.05730v1 · Giorgia Ciavolella, Nathalie Ferrand, Michele Sabbah et al.2024 · 2 citationsarXiv
A Model for Membrane Degradation Using a Gelatin Invadopodia Assay.38347328 · Ciavolella, Giorgia, Ferrand, Nathalie, Sabbah, Michéle et al.2024 · 2 citationsBulletin of mathematical biology. 2024;86(3):30
Structured model conserving biomass for the size-spectrum evolution in aquatic ecosystems.38324076 · Kanzler, L, Perthame, B, Sarels, B2024 · 1 citationJournal of mathematical biology. 2024;88(3):26
Wasserstein contraction for the stochastic Morris-Lecar neuron model2307.13362v2 · Maxime Herda, Pierre Monmarch'e, Benoit Perthame2023 · 0 citationsarXiv
A Hamilton-Jacobi approach to nonlocal kinetic equations2401.17176v1 · Nadia Loy, Benoit Perthame2024 · 1 citationarXiv
Confined run-and-tumble model with boundary aggregation: long time behavior and convergence to the confined Fokker-Planck model2401.03161v1 · Jingyi Fu, Jiuyang Liang, Benoit Perthame et al.2024 · 4 citationsarXiv
Structured Model Conserving Biomass for the Size-spectrum Evolution in Aquatic Ecosystems2212.06465v4 · Laura Kanzler, Benoit Perthame, Benoit Sarels2022 · 1 citationarXiv
Incompressible limit of porous media equation with chemotaxis and growth2312.16869v1 · Qingyou He (LCQB-MMB), Hai-Liang Li, Benoit Perthame (LJLL (UMR\_7598) et al.2023 · 0 citationsarXiv
Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion2306.01777v2 · Marie Doumic (MERGE), Sophie Hecht ), Benoit Perthame (LJLL (UMR\_7598) et al.2023 · 12 citationsarXiv
On the limit problem arising in the kinetic derivation of the Cahn-Hilliard equation2306.06486v1 · Charles Elbar, Benoit Perthame, Jakub Skrzeczkowski2023 · 1 citationarXiv
Nonlocal Cahn-Hilliard equation with degenerate mobility: Incompressible limit and convergence to stationary states2305.06239v1 · Charles Elbar, Benoit Perthame, Andrea Poiatti et al.2023 · 6 citationsarXiv
An infinite-times renewal equation2304.01605v1 · Xu'An Dou, Benoit Perthame (LJLL (UMR\_7598), MAMBA) et al.2023 · 0 citationsarXiv
Final size and convergence rate for an epidemic in heterogeneous population2010.15410v2 · Lu'is Almeida (LJLL (UMR\_7598), MAMBA), Pierre-Alexandre Bliman (MAMBA) et al.2020 · 0 citationsMathematical Models and Methods in Applied Sciences, 2021, 31 (05), pp.1021-1051
From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation2208.01026v1 · Charles Elbar, Marco Mason, Benoit Perthame et al.2022 · 8 citationsarXiv
Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model2112.10394v1 · Charles Elbar, Benoit Perthame, Alexandre Poulain2021 · 12 citationsarXiv
Incompressible limits of Patlak-Keller-Segel model and its stationary state2203.13709v2 · Qingyou He, Hai-Liang Li, Benoit Perthame2022 · 0 citationsarXiv
Pressure jump and radial stationary solutions of the degenerate Cahn-Hilliard equation2206.07451v2 · Charles Elbar, Benoit Perthame, Jakub Skrzeczkowski2022 · 4 citationsarXiv
A multiple time renewal equation for neural assemblies with elapsed time model2108.10577v2 · Nicol'as Torres (LJLL), Benoit Perthame (LJLL), Delphine Salort (LCQB)2021 · 13 citationsarXiv
Collective motion driven by nutrient consumption2209.00100v1 · Pierre-Emmanuel Jabin, Benoit Perthame2022 · 1 citationarXiv
Existence of a global weak solution for a reaction-diffusion problem with membrane conditions2007.11989v4 · Giorgia Ciavolella, Benoit Perthame2020 · 23 citationsJournal of Evolution Equations (2020)
A Hamilton-Jacobi Approach to Evolution of Dispersal2205.05534v1 · King-Yeung Lam, Yuan Lou, Benoit Perthame2022 · 12 citationsarXiv
Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility1908.11294v4 · Benoit Perthame, Alexandre Poulain2019 · 18 citationsarXiv
Selection-mutation dynamics with asymmetrical reproduction kernels2111.06648v2 · Benoit Perthame (LJLL (UMR\_7598)), Martin Strugarek (LJLL (UMR\_7598)), C'ecile Taing (LMA-Poitiers)2021 · 7 citationsarXiv
Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience2202.12539v1 · Xu'An Dou, Benoit Perthame, Delphine Salort (LCQB) et al.2022 · 9 citationsarXiv
Fast reaction limit with nonmonotone reaction function2008.11086v1 · Benoit Perthame, Jakub Skrzeczkowski2020 · 16 citationsCommunications on Pure and Applied Mathematics, 2022
Motility switching and front-back synchronisation in polarized cells2109.08981v1 · Gissell Estrada-Rodriguez, Benoit Perthame2021 · 1 citationarXiv
Multiple asymptotics of Kinetic Equations with Internal States1907.11043v1 · Benoit Perthame, Weiran Sun, Min Tang et al.2019 · 12 citationsNonlinearity 30, 1041-1073 (2020)
Traveling Wave and Aggregation in a Flux-Limited Keller-Segel Model1709.07296v1 · Vincent Calvez (UMPA-ENSL, NUMED), Benoit Perthame (LJLL) et al.2017 · 27 citationsarXiv
Convergence rate for the incompressible limit of nonlinear diffusion-advection equations2108.00787v1 · Noemi David, Tomasz Debiec, Benoit Perthame2021 · 18 citationsarXiv
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility2007.13084v3 · Tommaso Lorenzi, Benoit Perthame, Xinran Ruan2020 · 16 citationsarXiv
Kinetic models for epidemic dynamics with social heterogeneity2009.01140v2 · G. Dimarco, B. Perthame, G. Toscani et al.2020 · 82 citationsarXiv
An elapsed time model for strongly coupled inhibitory and excitatory neural networks2103.10737v1 · Maria Caceres, Benoit Perthame (LJLL (UMR\_7598)), Delphine Salort (LCQB) et al.2021 · 9 citationsarXiv
A non-expanding transport distance for some structured equations2102.04092v1 · Nicolas Fournier (LPSM (UMR\_8001)), Benoit Perthame (LJLL (UMR\_7598))2021 · 0 citationsarXiv
A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells.31283914 · Bubba, Federica, Pouchol, Camille, Ferrand, Nathalie et al.2020 · 2 citationsJournal of theoretical biology. 2019;479:73-80
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