Works matching AU Perthame, Benoît

Results: 60

Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies.

Published in:

Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2005, v. 135, n. 2, p. 253, doi. 10.1017/S0308210500003863

By:

Audusse, Emmanuel;
Perthame, Benoît

Publication type:

Article

Relaxation of the Cahn–Hilliard equation with singular single-well potential and degenerate mobility.

Published in:

European Journal of Applied Mathematics, 2021, v. 32, n. 1, p. 89, doi. 10.1017/S0956792520000054

By:

PERTHAME, BENOÎT;
POULAIN, ALEXANDRE

Publication type:

Article

A Hamilton-Jacobi approach to evolution of dispersal.

Published in:

Communications in Partial Differential Equations, 2023, v. 48, n. 1, p. 86, doi. 10.1080/03605302.2022.2139723

By:

Lam, King-Yeung;
Lou, Yuan;
Perthame, Benoît

Publication type:

Article

Convergence rate for the incompressible limit of nonlinear diffusion-advection equations.

Published in:

Annales de l'Institut Henri Poincaré C, 2023, v. 40, n. 3, p. 511, doi. 10.4171/AIHPC/53

By:

David, Noemi;
Dębiec, Tomasz;
Perthame, Benoît

Publication type:

Article

The Aronson-Bénilan estimate in Lebesgue spaces.

Published in:

Annales de l'Institut Henri Poincaré C, 2023, v. 40, n. 2, p. 259, doi. 10.4171/AIHPC/43

By:

Bevilacqua, Giulia;
Perthame, Benoît;
Schmidtchen, Markus

Publication type:

Article

Asymmetric potentials and motor effect: a homogenization approach

Published in:

Annales de l'Institut Henri Poincaré C, 2009, v. 26, n. 6, p. 2055, doi. 10.1016/j.anihpc.2008.10.003

By:

Perthame, Benoît;
Souganidis, Panagiotis E.

Publication type:

Article

Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations

Published in:

Annales de l'Institut Henri Poincaré C, 2003, v. 20, n. 4, p. 645, doi. 10.1016/S0294-1449(02)00014-8

By:

Chen, Gui-Qiang;
Perthame, Benoît

Publication type:

Article

Super-linear propagation for a general, local cane toads model.

Published in:

Interfaces & Free Boundaries, 2018, v. 20, n. 4, p. 483, doi. 10.4171/IFB/409

By:

HENDERSON, CHRISTOPHER;
PERTHAME, BENOÎT;
SOUGANIDIS, PANAGIOTIS E.

Publication type:

Article

Survival thresholds and mortality rates in adaptive dynamics: conciliating deterministic and stochastic simulations.

Published in:

Mathematical Medicine & Biology: A Journal of the IMA, 2010, v. 27, n. 3, p. 195, doi. 10.1093/imammb/dqp018

By:

PERTHAME, BENOÎT;
GAUDUCHON, MATHIAS

Publication type:

Article

Dynamics of Concentration in a Population Model Structured by Age and a Phenotypical Trait.

Published in:

Acta Applicandae Mathematicae, 2018, v. 155, n. 1, p. 197, doi. 10.1007/s10440-017-0151-0

By:

Nordmann, Samuel;
Perthame, Benoît;
Taing, Cécile

Publication type:

Article

Direct competition results from strong competition for limited resource.

Published in:

Journal of Mathematical Biology, 2014, v. 68, n. 4, p. 931, doi. 10.1007/s00285-013-0659-5

By:

Mirrahimi, Sepideh;
Perthame, Benoît;
Wakano, Joe

Publication type:

Article

Evolution of species trait through resource competition.

Published in:

Journal of Mathematical Biology, 2012, v. 64, n. 7, p. 1189, doi. 10.1007/s00285-011-0447-z

By:

Mirrahimi, Sepideh;
Perthame, Benoît;
Wakano, Joe

Publication type:

Article

Derivation of hyperbolic models for chemosensitive movement.

Published in:

Journal of Mathematical Biology, 2005, v. 50, n. 2, p. 189, doi. 10.1007/s00285-004-0286-2

By:

Filbet, Francis;
Laurençot, Philippe;
Perthame, Benoît

Publication type:

Article

Asymmetric Potentials and Motor Effect: A Large Deviation Approach.

Published in:

Archive for Rational Mechanics & Analysis, 2009, v. 193, n. 1, p. 153, doi. 10.1007/s00205-008-0198-1

By:

Perthame, Benoît;
Souganidis, Panagiotis E.

Publication type:

Article

Addendum to: “Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws”.

Published in:

Archive for Rational Mechanics & Analysis, 2004, v. 174, n. 3, p. 443, doi. 10.1007/s00205-004-0338-1

By:

Perthame, Benoît;
Souganidis, Panagiotis E.

Publication type:

Article

Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws.

Published in:

Archive for Rational Mechanics & Analysis, 2003, v. 170, n. 4, p. 359, doi. 10.1007/s00205-003-0282-5

By:

Perthame, Benoît;
Souganidis, P. E.

Publication type:

Article

A Model for Membrane Degradation Using a Gelatin Invadopodia Assay.

Published in:

Bulletin of Mathematical Biology, 2024, v. 86, n. 3, p. 1, doi. 10.1007/s11538-024-01260-w

By:

Ciavolella, Giorgia;
Ferrand, Nathalie;
Sabbah, Michéle;
Perthame, Benoît;
Natalini, Roberto

Publication type:

Article

Modeling the Effects of Space Structure and Combination Therapies on Phenotypic Heterogeneity and Drug Resistance in Solid Tumors.

Published in:

Bulletin of Mathematical Biology, 2015, v. 77, n. 1, p. 1, doi. 10.1007/s11538-014-0046-4

By:

Lorz, Alexander;
Lorenzi, Tommaso;
Clairambault, Jean;
Escargueil, Alexandre;
Perthame, Benoît

Publication type:

Article

Stability Analysis of a Simplified Yet Complete Model for Chronic Myelogenous Leukemia.

Published in:

Bulletin of Mathematical Biology, 2010, v. 72, n. 7, p. 1732, doi. 10.1007/s11538-009-9500-0

By:

Doumic-Jauffret, Marie;
Kim, Peter S.;
Perthame, Benoît

Publication type:

Article

Analytical examples of diffusive waves generated by a traveling wave.

Published in:

Applicable Analysis, 2017, v. 96, n. 9, p. 1596, doi. 10.1080/00036811.2017.1314463

By:

Moundoyi, Harold;
Moussa, Ayman;
Perthame, Benoît;
Sarels, Benoît

Publication type:

Article

Wasserstein contraction for the stochastic Morris-Lecar neuron model.

Published in:

Kinetic & Related Models, 2025, v. 18, n. 1, p. 1, doi. 10.3934/krm.2024009

By:

Herda, Maxime;
Monmarché, Pierre;
Perthame, Benoît

Publication type:

Article

ON INTERFACES BETWEEN CELL POPULATIONS WITH DIFFERENT MOBILITIES.

Published in:

Kinetic & Related Models, 2017, v. 10, n. 1, p. 299, doi. 10.3934/krm.2017012

By:

LORENZI, TOMMASO;
LORZ, ALEXANDER;
PERTHAME, BENOÎT

Publication type:

Article

ON A VOLTAGE-CONDUCTANCE KINETIC SYSTEM FOR INTEGRATE & FIRE NEURAL NETWORKS.

Published in:

Kinetic & Related Models, 2013, v. 6, n. 4, p. 841, doi. 10.3934/krm.2013.6.841

By:

PERTHAME, BENOÎT;
SALORT, DELPHINE

Publication type:

Article

NONLINEAR STABILITY OF A VLASOV EQUATION FOR MAGNETIC PLASMAS.

Published in:

Kinetic & Related Models, 2013, v. 6, n. 2, p. 269, doi. 10.3934/krm.2013.6.269

By:

CHARLES, FRÉDÉRIQUE;
DESPRÉS, BRUNO;
PERTHAME, BENOÎT;
SENTIS, REMIS

Publication type:

Article

Fast Reaction Limit with Nonmonotone Reaction Function.

Published in:

Communications on Pure & Applied Mathematics, 2023, v. 76, n. 7, p. 1495, doi. 10.1002/cpa.22042

By:

Perthame, Benoît;
Skrzeczkowski, Jakub

Publication type:

Article

MATHEMATICAL TOOLS FOR KINETIC EQUATIONS.

Published in:

Bulletin (New Series) of the American Mathematical Society, 2004, v. 41, n. 2, p. 205, doi. 10.1090/S0273-0979-04-01004-3

By:

Perthame, Benoît

Publication type:

Article

Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience.

Published in:

Discrete & Continuous Dynamical Systems: Series A, 2023, v. 43, n. 3/4, p. 1, doi. 10.3934/dcds.2022136

By:

Dou, Xu'an;
Perthame, Benoît;
Salort, Delphine;
Zhou, Zhennan

Publication type:

Article

Mathematical models of cell self-organization.

Published in:

Journal of the Egyptian Mathematical Society, 2011, v. 19, n. 1/2, p. 52, doi. 10.1016/j.joems.2011.09.005

By:

Perthame, Benoît

Publication type:

Article

Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations.

Published in:

Networks & Heterogeneous Media, 2019, v. 14, n. 1, p. 23, doi. 10.3934/nhm.2019002

By:

Almeida, Luis;
Bubba, Federica;
Perthame, Benoît;
Pouchol, Camille

Publication type:

Article

ANALYSIS OF A SIMPLIFIED MODEL OF THE URINE CONCENTRATION MECHANISM.

Published in:

Networks & Heterogeneous Media, 2012, v. 7, n. 4, p. 989, doi. 10.3934/nhm.2012.7.989

By:

TOURNUS, MAGALI;
EDWARDS, AURÉLIE;
SEGUIN, NICOLAS;
PERTHAME, BENOÎT

Publication type:

Article

Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit.

Published in:

Mathematical Modelling of Natural Phenomena, 2007, v. 2, n. 4, p. 135, doi. 10.1051/mmnp:2008029

By:

Perthame, Benoît;
Génieys, Stephane

Publication type:

Article

The flux limited Keller-Segel system; properties and derivation from kinetic equations.

Published in:

Revista Mathematica Iberoamericana, 2020, v. 36, n. 2, p. 357, doi. 10.4171/RMI/1132

By:

Perthame, Benoît;
Vauchelet, Nicolas;
Zhian Wang

Publication type:

Article

Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway.

Published in:

Journal of Mathematical Biology, 2016, v. 73, n. 5, p. 1161, doi. 10.1007/s00285-016-0985-5

By:

Perthame, Benoît;
Vauchelet, Nicolas;
Tang, Min

Publication type:

Article

On the Limit Problem Arising in the Kinetic Derivation of a Cahn–Hilliard Equation.

Published in:

Communications in Mathematical Physics, 2024, v. 405, n. 11, p. 1, doi. 10.1007/s00220-024-05142-z

By:

Elbar, Charles;
Perthame, Benoît;
Skrzeczkowski, Jakub

Publication type:

Article

From Vlasov Equation to Degenerate Nonlocal Cahn-Hilliard Equation.

Published in:

Communications in Mathematical Physics, 2023, v. 401, n. 1, p. 1033, doi. 10.1007/s00220-023-04663-3

By:

Elbar, Charles;
Mason, Marco;
Perthame, Benoît;
Skrzeczkowski, Jakub

Publication type:

Article

Nonlocal Cahn–Hilliard Equation with Degenerate Mobility: Incompressible Limit and Convergence to Stationary States.

Published in:

Archive for Rational Mechanics & Analysis, 2024, v. 248, n. 3, p. 1, doi. 10.1007/s00205-024-01990-0

By:

Elbar, Charles;
Perthame, Benoît;
Poiatti, Andrea;
Skrzeczkowski, Jakub

Publication type:

Article

Hele–Shaw Limit for a System of Two Reaction-(Cross-)Diffusion Equations for Living Tissues.

Published in:

Archive for Rational Mechanics & Analysis, 2020, v. 236, n. 2, p. 735, doi. 10.1007/s00205-019-01479-1

By:

Bubba, Federica;
Perthame, Benoît;
Pouchol, Camille;
Schmidtchen, Markus

Publication type:

Article

Bernoulli Variational Problem and Beyond.

Published in:

Archive for Rational Mechanics & Analysis, 2014, v. 212, n. 2, p. 415, doi. 10.1007/s00205-013-0707-8

By:

Lorz, Alexander;
Markowich, Peter;
Perthame, Benoît

Publication type:

Article

The Hele-Shaw Asymptotics for Mechanical Models of Tumor Growth.

Published in:

Archive for Rational Mechanics & Analysis, 2014, v. 212, n. 1, p. 93, doi. 10.1007/s00205-013-0704-y

By:

Perthame, Benoît;
Quirós, Fernando;
Vázquez, Juan

Publication type:

Article

TWO-DIMENSIONAL KELLER-SEGEL MODEL: OPTIMAL CRITICAL MASS AND QUALITATIVE PROPERTIES OF THE SOLUTIONS.

Published in:

Electronic Journal of Differential Equations, 2006, v. 2006, p. 1

By:

Blanchet, Adrien;
Dolbeault, Jean;
Perthame, Benoît

Publication type:

Article

Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation.

Published in:

Journal of Mathematical Neuroscience, 2014, v. 4, p. 1, doi. 10.1186/2190-8567-4-14

By:

Pakdaman, Khashayar;
Perthame, Benoît;
Salort, Delphine

Publication type:

Article

Final size and convergence rate for an epidemic in heterogeneous populations.

Published in:

Mathematical Models & Methods in Applied Sciences, 2021, v. 31, n. 5, p. 1021, doi. 10.1142/S0218202521500251

By:

Almeida, Luis;
Bliman, Pierre-Alexandre;
Nadin, Grégoire;
Perthame, Benoît;
Vauchelet, Nicolas

Publication type:

Article

Competition and boundary formation in heterogeneous media: Application to neuronal differentiation.

Published in:

Mathematical Models & Methods in Applied Sciences, 2015, v. 25, n. 13, p. 2477, doi. 10.1142/S0218202515400151

By:

Perthame, Benoît;
Quiñinao, Cristóbal;
Touboul, Jonathan

Publication type:

Article

WAVES FOR A HYPERBOLIC KELLER-SEGEL MODEL AND BRANCHING INSTABILITIES.

Published in:

Mathematical Models & Methods in Applied Sciences, 2011, v. 21, p. 825, doi. 10.1142/S0218202511005386

By:

CERRETI, FIAMMETTA;
PERTHAME, BENOÎT;
SCHMEISER, CHRISTIAN;
TANG, MIN;
VAUCHELET, NICOLAS;
Bellomo, N.;
Brezzi, F.

Publication type:

Article

Stability in a Nonlinear Population Maturation Model.

Published in:

Mathematical Models & Methods in Applied Sciences, 2002, v. 12, n. 12, p. 1751, doi. 10.1142/S021820250200232X

By:

Mischler, Stéphane;
Perthame, Benoît;
Ryzhik, Lenya;
Bellomo, N.

Publication type:

Article

Fast Voltage Dynamics of Voltage–Conductance Models for Neural Networks.

Published in:

Bulletin of the Brazilian Mathematical Society, 2021, v. 52, n. 1, p. 101, doi. 10.1007/s00574-019-00192-7

By:

Kim, Jeongho;
Perthame, Benoît;
Salort, Delphine

Publication type:

Article

A two-species hyperbolic–parabolic model of tissue growth.

Published in:

Communications in Partial Differential Equations, 2019, v. 44, n. 12, p. 1605, doi. 10.1080/03605302.2019.1650064

By:

Gwiazda, Piotr;
Perthame, Benoît;
Świerczewska-Gwiazda, Agnieszka

Publication type:

Article

Global Existence for a Kinetic Model of Chemotaxis via Dispersion and Strichartz Estimates.

Published in:

Communications in Partial Differential Equations, 2008, v. 33, n. 1, p. 79, doi. 10.1080/03605300601188474

By:

Bournaveas, Nikolaos;
Calvez, Vincent;
Gutiérrez, Susana;
Perthame, Benoît

Publication type:

Article

Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates.

Published in:

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

By:

Lions, Pierre-Louis;
Perthame, Benoît;
Souganidis, Panagiotis E.

Publication type:

Article

Adaptive dynamics of hematopoietic stem cells and their supporting stroma: a model and mathematical analysis.

Published in:

Mathematical Biosciences & Engineering, 2019, v. 16, n. 5, p. 4818, doi. 10.3934/mbe.2019243

By:

Nguyen, Thanh Nam;
Clairambault, Jean;
Jaffredo, Thierry;
Perthame, Benoît;
Salort, Delphine

Publication type:

Article