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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
2009
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

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

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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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
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The Aronson-Bénilan Estimate in Lebesgue Spaces

Giulia Bevilacqua , Benoît Perthame , Markus Schmidtchen
2020
Preprints, Working Papers, ... hal-02909140v1
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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
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Hele-Shaw limit for a system of two reaction-(cross-)diffusion equations for living tissues

Federica Bubba , Benoît Perthame , Camille Pouchol , Markus Schmidtchen
Archive for Rational Mechanics and Analysis, 2020, 236, pp.735--766. ⟨10.1007/s00205-019-01479-1⟩
Journal articles hal-01970313v2
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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
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A mathematical model of the cell cycle and its control

Jean Clairambault , Béatrice Laroche , Stéphane Mischler , Benoît Perthame
[Research Report] RR-4892, INRIA. 2003
Reports inria-00071690v1
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A consistent BGK-type model for gas mixtures

Pierre Andries , Kazuo Aoki , Benoît Perthame
[Research Report] RR-4230, INRIA. 2001
Reports inria-00072389v1
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Dynamics of Nonlocal Fisher concentration points: a nonlinear analysis of Turing patterns

Benoît Perthame , Stéphane Génieys
2007
Preprints, Working Papers, ... hal-00128250v1
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Long-term analysis of phenotypically structured models

Alexander Lorz , Benoît Perthame
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 2014, 470 (2167), pp.1-10. ⟨10.1098/rspa.2014.0089⟩
Journal articles hal-00941097v1
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Transversal instability for the thermodiffusive reaction-diffusion system

Michal Kolwalczyk , Benoît Perthame , Nicolas Vauchelet
Chinese Annals of Mathematics - Series B, 2015, 36 (5), pp.871-882. ⟨10.1007/s11401-015-0981-x⟩
Journal articles hal-00939013v1
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Nonlinear stability of a Vlasov equation for magnetic plasmas

Frédérique Charles , Bruno Després , Benoît Perthame , Remi Sentis
Kinetic and Related Models , 2013, 6 (2), pp.269 - 290. ⟨10.3934/krm.2013.6.269⟩
Journal articles hal-00689810v1

Modélisation des systèmes biologiques, bioinformatique

Olivier Gascuel , P. Benas , C. Brun , D. Burnouf , Alexandre de Brevern , et al.
Rapport de conjoncture 2010 du Comité national de la recherche scientifique, CNRS Editions, chapitre 43, 845-858, 2011, ISBN 978-2-271-07263-4
Book sections hal-00799641v1
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Stability Analysis of a Simplified Yet Complete Model for Chronic Myelegenous Leukemia

Marie Doumic-Jauffret , Peter S. Kim , Benoît Perthame
Bulletin of Mathematical Biology, 2010, 72 (7), pp.1732-1759. ⟨10.1007/s11538-009-9500-0⟩
Journal articles hal-00413152v1

Critical space for the parabolic-parabolic Keller-Segel model in $\Bbb R\sp d$

Lucilla Corrias , Benoît Perthame
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2006, 342, pp.745-750
Journal articles hal-00113524v1
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Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient

Benoît Perthame , Min Tang , Nicolas Vauchelet
Mathematical Models and Methods in Applied Sciences, 2014, 24 (13), pp.2601-2626
Journal articles hal-00931399v1
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Competition and boundary formation in heterogeneous media: Application to neuronal differentiation

Benoît Perthame , Cristóbal Quiñinao , Jonathan Touboul
Mathematical Models and Methods in Applied Sciences, 2015, 25 (13), pp.2477-2502. ⟨10.1142/S0218202515400151⟩
Journal articles hal-01054813v2