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Transport costs for PDEs: the coupling method

Nicolas Fournier , Benoît Perthame
EMS Surveys in Mathematical Sciences, 2020, 7 (1), pp.1-31. ⟨10.4171/EMSS/35⟩
Journal articles hal-02080155v2
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Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility

Benoît Perthame , Alexandre Poulain
European Journal of Applied Mathematics, 2020, ⟨10.1017/S0956792520000054⟩
Journal articles hal-02274417v4
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Introduction to the theory of random particle methods for Boltzmann equation

Benoît Perthame
[Research Report] RR-2218, INRIA. 1994
Reports inria-00074452v1

Invariants and exponential rate of convergence to steady state in the renewal equation

P. Gwiazda , Benoît Perthame
Markov Processes And Related Fields, 2006, 12, pp.413-424
Journal articles hal-00113528v1
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A simple derivation of BV bounds for inhomogeneous relaxation systems

Benoît Perthame , Nicolas Seguin , Magali Tournus
Communications in Mathematical Sciences, 2014, 13 (2), pp.577-586
Journal articles hal-00974269v1
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Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors

Alexander Lorz , Tommaso Lorenzi , Jean Clairambault , Alexandre Escargueil , Benoît Perthame
Bulletin of Mathematical Biology, 2015, 77 (1), pp.1-22. ⟨10.1007/s11538-014-0046-4⟩
Journal articles hal-00921266v2
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Modelling targets for anticancer drug control optimisation in physiologically structured cell population models

Frédérique Billy , Jean Clairambault , Olivier Fercoq , Tommaso Lorenzi , Alexander Lorz , et al.
ICNAAM 2012 - 10th international conference of numerical analysis and applied mathematics, Simos, Thodoros, Sep 2012, Kos, Greece. pp.1323-1326, ⟨10.1063/1.4756399⟩
Conference papers hal-00780721v1
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Bimodality, prion aggregates infectivity and prediction of strain phenomenon

Vincent Calvez , Natacha Lenuzza , Dietmar Oelz , Jean-Philippe Deslys , Pascal Laurent , et al.
Preprints, Working Papers, ... hal-00255790v1
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Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result

Guy Barles , Sepideh Mirrahimi , Benoît Perthame
Preprints, Working Papers, ... hal-00391982v1
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Dirac concentrations in a chemostat model of adaptive evolution

Alexander Lorz , Benoît Perthame , Cécile Taing
Chinese Annals of Mathematics - Series B, 2017
Journal articles hal-01255449v1

Fast reaction limit with nonmonotone reaction function

Benoît Perthame , Jakub Skrzeczkowski
Communications on Pure and Applied Mathematics, 2022, ⟨10.1002/cpa.22042⟩
Journal articles hal-02922284v1
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Long-time asymptotics for polymerization models

Juan Calvo , Marie Doumic , Benoît Perthame
Communications in Mathematical Physics, 2018, 363 (1), pp.111-137. ⟨10.1007/s00220-018-3218-5⟩
Journal articles hal-01570292v2
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Applying ecological and evolutionary theory to cancer: a long and winding road

Frédéric Thomas , Daniel Fisher , Philippe Fort , Jean-Pierre Marie , Simon Daoust , et al.
Evolutionary Applications, 2013, 6 (1), pp.1-10. ⟨10.1111/eva.12021⟩
Journal articles halsde-00790602v1
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Scalar conservation laws with rough (stochastic) fluxes

Pierre Louis Lions , Benoît Perthame , Panagiotis E. Souganidis
Stochastics and Partial Differential Equations: Analysis and Computations, 2013, 1 (4), pp.664-686. ⟨10.1007/s40072-013-0021-3⟩
Journal articles hal-00859393v1
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Un modèle multiéchelle de transport de colloïdes avec diffusion dégénérée anisotrope

Mohamed Belhadj , Jean-Frédéric Gerbeau , Benoît Perthame
[Rapport de recherche] RR-4468, INRIA. 2002
Reports inria-00072120v1
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The Gaussian-BGK Model of Boltzmann Equation with Small Prandtl Number

Pierre Andries , Patrick Le Tallec , Jean-Philippe Perlat , Benoît Perthame
[Research Report] RR-3716, INRIA. 1999
Reports inria-00072951v1
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Dynamics of a structured neuron population

Khashayar Pakdaman , Benoît Perthame , Delphine Salort
Preprints, Working Papers, ... hal-00387413v1
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Dirac mass dynamics in multidimensional nonlocal parabolic equations

Alexander Lorz , Sepideh Mirrahimi , Benoît Perthame
Communications in Partial Differential Equations, 2011, 36, pp.1071-1098. ⟨10.1080/03605302.2010.538784⟩
Journal articles hal-00533693v2
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Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result

Guy Barles , Sepideh Mirrahimi , Benoît Perthame
Methods and Applications of Analysis, 2009, 16 (3), pp.321-340. ⟨10.4310/MAA.2009.v16.n3.a4⟩
Journal articles hal-00371416v2
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Tumour growth and drug resistance: an evolutionary view with perspectives in therapeutics

Jean Clairambault , Luís Almeida , Rebecca Chisholm , Tommaso Lorenzi , Alexander Lorz , et al.
ECMTB 2016 - European Conference on Mathematical and Theoretical Biology, Jul 2016, Nottingham, United Kingdom. 2016
Poster communications hal-01378290v1

Kinetic formulation for chromatography and some other hyperbolic systems

François James , Yue-Jun Peng , Benoît Perthame
Journal de Mathématiques Pures et Appliquées, 1995, 74, pp.367-385
Journal articles hal-03660408v1
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Final size and convergence rate for an epidemic in heterogeneous population

Luís Almeida , Pierre-Alexandre Bliman , Grégoire Nadin , Benoît Perthame , Nicolas Vauchelet
Mathematical Models and Methods in Applied Sciences, 2021, 31 (05), pp.1021-1051
Journal articles hal-02981952v2

Derivation of Viscous Saint-Venant System for Laminar Shallow Water ; Numerical Validation

Jean-Frédéric Gerbeau , Benoît Perthame
Discrete and Continuous Dynamical Systems - Series B, 2001, 1 (1), pp.89-102. ⟨10.3934/dcdsb.2001.1.89⟩
Journal articles hal-00691701v1
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Singular Hamilton-Jacobi equation modeling the tail problem

Sepideh Mirrahimi , Guy Barles , Benoît Perthame , Panagiotis E. Souganidis
SIAM Journal on Mathematical Analysis, 2012, 44 (6), pp.4297-4319. ⟨10.1137/100819527⟩
Journal articles hal-00503154v2
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Qualitative Properties of Solutions for the Noisy Integrate & Fire model in Computational Neuroscience

José Carrillo , Benoît Perthame , Delphine Salort , Didier Smets
Nonlinearity, 2015, 28 (9), pp.3365 ⟨10.1088/0951-7715/28/9/3365⟩
Journal articles hal-01079381v1
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Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity

Maria J. Caceres , Benoît Perthame
Journal of Theoretical Biology, 2014, 350, pp.81-89. ⟨10.1016/j.jtbi.2014.02.005⟩
Journal articles hal-00874746v1

Data Assimilation for hyperbolic conservation laws. A Luenberger observer approach based on a kinetic description

Anne-Céline Boulanger , Philippe Moireau , Benoît Perthame , Jacques Sainte-Marie
Communications in Mathematical Sciences, 2015, 13 (3), pp.587 - 622. ⟨10.4310/CMS.2015.v13.n3.a1⟩
Journal articles hal-00924559v1
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Upwinding Sources at Interfaces in conservation laws

Theodoros Katsaounis , Benoît Perthame , Chiara Simeoni
Applied Mathematics Letters, 2004, 17 (3), pp.309-316. ⟨10.1016/S0893-9659(04)00012-6⟩
Journal articles hal-00922830v1
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Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration

Emeric Bouin , Vincent Calvez , Nicolas Meunier , Sepideh Mirrahimi , Benoît Perthame , et al.
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2012, 350 (15-16), pp.761-766. ⟨10.1016/j.crma.2012.09.010⟩
Journal articles hal-00716349v1
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Existence of a global weak solution for a reaction-diffusion problem with membrane conditions

Giorgia Ciavolella , Benoît Perthame
Journal of Evolution Equations, 2020, 21, pp.1513-1540. ⟨10.1007/s00028-020-00633-7⟩
Journal articles hal-02905180v4