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1

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

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

Journal:

Communications on Pure and Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 1.37 MB

english, 1996

2

[Handbook of Differential Equations: Evolutionary Equations] Volume 1 || Chapter 6 Kinetic formulations of parabolic and hyperbolic PDEs: From theory to numerics

Perthame, Benoît

Year:

2002

Language:

english

File:

PDF, 1.44 MB

english, 2002

3

Toward an integrated workforce planning framework using structured equations

Doumic, Marie, Perthame, Benoît, Ribes, Edouard, Salort, Delphine, Toubiana, Nathan

Journal:

European Journal of Operational Research

Year:

2017

Language:

english

File:

PDF, 2.37 MB

english, 2017

4

On positivity preserving finite volume schemes for Euler equations

Benoit Perthame, Chi-Wang Shu

Journal:

Numerische Mathematik

Year:

1996

Language:

english

File:

PDF, 138 KB

english, 1996

5

Derivation of viscous Saint-Venant system for laminar shallow water; Numerical validation

Perthame, Benoit, Gerbeau, J.-F.

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2001

Language:

english

File:

PDF, 240 KB

english, 2001

6

Optimal critical mass in the two dimensional Keller–Segel model in

Jean Dolbeault, Benoît Perthame

Journal:

Comptes Rendus Mathematique

Year:

2004

Language:

french

File:

PDF, 111 KB

french, 2004

7

PDE Models for Chemotactic Movements: Parabolic, Hyperbolic and Kinetic

Benoît Perthame

Journal:

Applications of Mathematics

Year:

2004

Language:

english

File:

PDF, 952 KB

english, 2004

8

Existence of solutions of the hyperbolic Keller-Segel model

Perthame, Benoît, Dalibard, Anne-Laure

Journal:

Transactions of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 261 KB

english, 2008

9

The Neumann Problem for Nonlinear Second Order Singular Perturbation Problems

Perthame, Benoit, Sanders, Richard

Journal:

SIAM Journal on Mathematical Analysis

Year:

1988

Language:

english

File:

PDF, 1.60 MB

english, 1988

10

On the Motion of Dispersed Balls in a Potential Flow: A Kinetic Description of the Added Mass Effect

Henar Herrero, Brigitte Lucquin-Desreux and Benoit Perthame

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 458 KB

english, 1999

11

Upwinding of the source term at interfaces for Euler equations with high friction

Francois Bouchut, Haythem Ounaissa, Benoît Perthame

Journal:

Computers & Mathematics with Applications

Year:

2007

Language:

english

File:

PDF, 847 KB

english, 2007

12

Mathematical tools for kinetic equations

Perthame, Benoît

Journal:

Bulletin of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 501 KB

english, 2004

13

General relative entropy inequality: an illustration on growth models

Philippe Michel, Stéphane Mischler, Benoît Perthame

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2005

File:

PDF, 195 KB

2005

14

Corrigendum to “An integro-differential equation model for alignment and orientational aggregation” [J. Differential Equations 246 (4) (2009) 1387–1421]

Kyungkeun Kang, Benoit Perthame, Angela Stevens, J.J.L. Velázquez

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 102 KB

english, 2012

15

Kinetic Formulation for Systems of Two¶Conservation Laws and Elastodynamics

Benoit Perthame, Athanasios E. Tzavaras

Journal:

Archive for Rational Mechanics and Analysis

Year:

2000

Language:

english

File:

PDF, 288 KB

english, 2000

16

WAVES FOR A HYPERBOLIC KELLER–SEGEL MODEL AND BRANCHING INSTABILITIES

CERRETI, FIAMMETTA, PERTHAME, BENOÎT, SCHMEISER, CHRISTIAN, TANG, MIN, VAUCHELET, NICOLAS

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2011

Language:

english

File:

PDF, 1.62 MB

english, 2011

17

Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases

Pierre Andries, Jean-François Bourgat, Patrick le Tallec, Benoit Perthame

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2002

Language:

english

File:

PDF, 782 KB

english, 2002

18

Relaxation and Self-Sustained Oscillations in the Time Elapsed Neuron Network Model

Pakdaman, Khashayar, Perthame, Benoît, Salort, Delphine

Journal:

SIAM Journal on Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 716 KB

english, 2013

19

Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations

Chen, Gui-Qiang, Perthame, Benoît

Journal:

Proceedings of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 197 KB

english, 2009

20

Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations

Lorz, Alexander, Mirrahimi, Sepideh, Perthame, Benoît

Journal:

Communications in Partial Differential Equations

Year:

2011

Language:

english

File:

PDF, 411 KB

english, 2011

21

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

Benoît Perthame, Panagiotis E. Souganidis

Journal:

Archive for Rational Mechanics and Analysis

Year:

2004

Language:

english

File:

PDF, 95 KB

english, 2004

22

Numerical solution of an inverse problem in size-structured population dynamics

Doumic, Marie, Perthame, Benoît, Zubelli, Jorge P

Journal:

Inverse Problems

Year:

2009

Language:

english

File:

PDF, 1.45 MB

english, 2009

23

Asymmetric potentials and motor effect: a homogenization approach

Benoît Perthame, Panagiotis E. Souganidis

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2009

Language:

english

File:

PDF, 367 KB

english, 2009

24

A Structured Population Model of Cell Differentiation

Doumic, Marie, Marciniak-Czochra, Anna, Perthame, Benoît, Zubelli, Jorge P.

Journal:

SIAM Journal on Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 597 KB

english, 2011

25

Morrey–Campanato Estimates for Helmholtz Equations

Benoit Perthame, Luis Vega

Journal:

Journal of Functional Analysis

Year:

1999

Language:

english

File:

PDF, 138 KB

english, 1999

26

The non-local Fisher–KPP equation: travelling waves and steady states

Berestycki, Henri, Nadin, Grégoire, Perthame, Benoit, Ryzhik, Lenya

Journal:

Year:

2009

Language:

english

File:

PDF, 460 KB

english, 2009

27

A two-species hyperbolic–parabolic model of tissue growth

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

Journal:

Communications in Partial Differential Equations

Year:

2019

Language:

english

File:

PDF, 1.43 MB

english, 2019

28

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

Khashayar Pakdaman,Benoît Perthame…

Journal:

The Journal of Mathematical Neuroscience (JMN)

Year:

2014

Language:

english

File:

PDF, 473 KB

english, 2014

29

Mathematical Analysis of a PDE System for Biological Network Formation

Haskovec, Jan, Markowich, Peter, Perthame, Benoit

Journal:

Communications in Partial Differential Equations

Year:

2015

Language:

english

File:

PDF, 336 KB

english, 2015

30

Regularity of the moments of the solution of a Transport Equation

François Golse, Pierre-Louis Lions, Benoît Perthame, Rémi Sentis

Journal:

Journal of Functional Analysis

Year:

1988

Language:

english

File:

PDF, 626 KB

english, 1988

31

Asymptotic decay for the solutions of the parabolic–parabolic Keller–Segel chemotaxis system in critical spaces

Lucilla Corrias, Benoǐt Perthame

Journal:

Mathematical and Computer Modelling

Year:

2008

Language:

english

File:

PDF, 273 KB

english, 2008

32

Derivation of hyperbolic models for chemosensitive movement

Francis Filbet, Philippe Laurençot, Benoît Perthame

Journal:

Journal of Mathematical Biology

Year:

2005

Language:

english

File:

PDF, 467 KB

english, 2005

33

A Hele-Shaw problem for tumor growth

Mellet, Antoine, Perthame, Benoît, Quirós, Fernando

Journal:

Journal of Functional Analysis

Year:

2017

Language:

english

File:

PDF, 392 KB

english, 2017

34

Regularity in kinetic formulations via averaging lemmas

Jabin, Pierre-Emmanuel, Perthame, Benoît

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2002

Language:

english

File:

PDF, 183 KB

english, 2002

35

Conservative cross diffusions and pattern formation through relaxation

Mostafa Bendahmane, Thomas Lepoutre, Americo Marrocco, Benoît Perthame

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2009

File:

PDF, 536 KB

2009

36

Dirac concentrations in a chemostat model of adaptive evolution

Alexander Lorz,Benoît Perthame,Cécile Taing

Journal:

Chinese Annals of Mathematics, Series B

Year:

2017

Language:

english

File:

PDF, 1.35 MB

english, 2017

37

Long-Time Asymptotics for Polymerization Models

Calvo, Juan, Doumic, Marie, Perthame, Benoît

Journal:

Communications in Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 625 KB

english, 2018

38

Energy Concentration and Sommerfeld Condition for Helmholtz Equation with Variable Index at Infinity

Benoit Perthame, Luis Vega

Journal:

Geometric And Functional Analysis

Year:

2008

Language:

english

File:

PDF, 260 KB

english, 2008

39

Asymmetric Potentials and Motor Effect: A Large Deviation Approach

Benoît Perthame, Panagiotis E. Souganidis

Journal:

Archive for Rational Mechanics and Analysis

Year:

2009

Language:

english

File:

PDF, 384 KB

english, 2009

40

Kinetic Models for Chemotaxis and their Drift-Diffusion Limits

Fabio A. C. C. Chalub, Peter A. Markowich, Benoît Perthame, Christian Schmeiser

Journal:

Monatshefte für Mathematik

Year:

2004

Language:

english

File:

PDF, 152 KB

english, 2004

41

Asymptotic analysis of a selection model with space

Mirrahimi, Sepideh, Perthame, Benoît

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2015

File:

PDF, 339 KB

2015

42

On the modified Enskog equation for elastic and inelastic collisions. Models with spin

Esteban, Maria J., Perthame, Benoît

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

1991

Language:

english

File:

PDF, 257 KB

english, 1991

43

A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation

Audusse, Emmanuel, Bristeau, Marie-Odile, Perthame, Benoît, Sainte-Marie, Jacques

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2011

Language:

english

File:

PDF, 959 KB

english, 2011

44

On a boundary layer problem for the nonlinear Boltzmann equation

Francois Golse, Benoit Perthame, Catherine Sulem

Journal:

Archive for Rational Mechanics and Analysis

Year:

1988

Language:

english

File:

PDF, 572 KB

english, 1988

45

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

Benoît Perthame, P. E. Souganidis

Journal:

Archive for Rational Mechanics and Analysis

Year:

2003

Language:

english

File:

PDF, 148 KB

english, 2003

46

Scalar conservation laws with rough (stochastic) fluxes

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

Journal:

Stochastic Partial Differential Equations: Analysis and Computations

Year:

2013

Language:

english

File:

PDF, 248 KB

english, 2013

47

[Lecture Notes on Mathematical Modelling in the Life Sciences] Parabolic Equations in Biology || Traveling Waves

Perthame, Benoît

Year:

2015

Language:

english

File:

PDF, 540 KB

english, 2015

48

Fast Voltage Dynamics of Voltage–Conductance Models for Neural Networks

Kim, Jeongho, Perthame, Benoît, Salort, Delphine

Journal:

Bulletin of the Brazilian Mathematical Society, New Series

Year:

2020

Language:

english

File:

PDF, 1.15 MB

english, 2020

49

Optimal Approximations of Transport Equations by Particle and Pseudoparticle Methods

Cohen, Albert, Perthame, Benoit

Journal:

SIAM Journal on Mathematical Analysis

Year:

2000

Language:

english

File:

PDF, 236 KB

english, 2000

50

Global Stability of Steady Solutions for a Model in Virus Dynamics

Frid, Hermano, Jabin, Pierre-Emmanuel, Perthame, Benoît

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 234 KB

english, 2003

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