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1

A Parabolic Problem with a Fractional Time Derivative

Allen, Mark, Caffarelli, Luis, Vasseur, Alexis

Journal:

Archive for Rational Mechanics and Analysis

Year:

2016

Language:

english

File:

PDF, 545 KB

english, 2016

2

The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics

Caffarelli, Luis, Vasseur, Alexis

Journal:

Discrete and Continuous Dynamical Systems - Series S

Year:

2010

Language:

english

File:

PDF, 224 KB

english, 2010

3

A new proof of partial regularity of solutions to Navier-Stokes equations

Alexis F. Vasseur

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2007

Language:

english

File:

PDF, 337 KB

english, 2007

4

Regularity theory for parabolic nonlinear integral operators

Caffarelli, Luis, Chan, Chi Hin, Vasseur, Alexis

Journal:

Journal of the American Mathematical Society

Year:

2011

Language:

english

File:

PDF, 267 KB

english, 2011

5

Nonlinear Partial Differential Equations ||

Caffarelli, Luis A., Golse, François, Guo, Yan, Kenig, Carlos E., Vasseur, Alexis

Year:

2012

Language:

english

File:

PDF, 2.03 MB

english, 2012

6

Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part II: Fine particles regime.

Goudon, Thierry, Jabin, Pierre-Emmanue, Vasseur, Alexis

Journal:

Indiana University Mathematics Journal

Year:

2004

Language:

english

File:

PDF, 284 KB

english, 2004

7

Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.

Goudon, Thierry, Jabin, Pierre-Emmanue, Vasseur, Alexis

Journal:

Indiana University Mathematics Journal

Year:

2004

Language:

english

File:

PDF, 289 KB

english, 2004

8

Relative Entropy and the Stability of Shocks and Contact Discontinuities for Systems of Conservation Laws with non-BVPerturbations

Nicholas Leger, Alexis Vasseur

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 312 KB

english, 2011

9

Regularity criterion for 3d navier-stokes equations in terms of the direction of the velocity

Journal:

Applications of Mathematics

Year:

2009

Language:

english

File:

PDF, 112 KB

english, 2009

10

The Beker--Döring System and Its Lifshitz--Slyozov Limit

Vasseur, Alexis, Poupaud, Frédéric, Collet, Jean-Francois, Goudon, Thierry

Journal:

SIAM Journal on Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 172 KB

english, 2002

11

Estimates on fractional higher derivatives of weak solutions for the Navier–Stokes equations

Choi, Kyudong, Vasseur, Alexis F.

Journal:

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

Year:

2014

Language:

english

File:

PDF, 1.91 MB

english, 2014

12

The Beker-Döring System and Its Lifshitz-Slyozov Limit

Jean-Francois Collet, Thierry Goudon, Frédéric Poupaud and Alexis Vasseur

Journal:

SIAM Journal on Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 319 KB

english, 2002

13

STUDY OF A GENERALIZED FRAGMENTATION MODEL FOR SPRAYS

LEGER, NICHOLAS, VASSEUR, ALEXIS F.

Journal:

Journal of Hyperbolic Differential Equations

Year:

2009

Language:

english

File:

PDF, 307 KB

english, 2009

14

On a Model for Mixture Flows: Derivation, Dissipation and Stability Properties

Goudon, Thierry, Vasseur, Alexis

Journal:

Archive for Rational Mechanics and Analysis

Year:

2016

Language:

english

File:

PDF, 674 KB

english, 2016

15

Existence of global weak solutions for 3D degenerate compressible Navier–Stokes equations

Vasseur, Alexis F., Yu, Cheng

Journal:

Inventiones mathematicae

Year:

2016

Language:

english

File:

PDF, 679 KB

english, 2016

16

Criteria on Contractions for Entropic Discontinuities of Systems of Conservation Laws

Kang, Moon-Jin, Vasseur, Alexis F.

Journal:

Archive for Rational Mechanics and Analysis

Year:

2016

Language:

english

File:

PDF, 825 KB

english, 2016

17

L2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws

Kang, Moon-Jin, Vasseur, Alexis F., Wang, Yi

Journal:

Journal of Differential Equations

Year:

2019

Language:

english

File:

PDF, 2.10 MB

english, 2019

18

Solutions of the 4-species quadratic reaction-diffusion system are bounded and C∞-smooth, in any space dimension

Caputo, M. Cristina, Goudon, Thierry, Vasseur, Alexis F.

Journal:

Year:

2019

Language:

english

File:

PDF, 763 KB

english, 2019

19

Solutions of the 4-species quadratic reaction-diffusion system are bounded and C∞-smooth, in any space dimension

Caputo, M. Cristina, Goudon, Thierry, Vasseur, Alexis F.

Journal:

Year:

2019

File:

PDF, 763 KB

2019

20

Stability and Uniqueness for Piecewise Smooth Solutions to a Nonlocal Scalar Conservation Law with Applications to Burgers--Hilbert Equation

Krupa, Sam G., Vasseur, Alexis F.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2020

File:

PDF, 486 KB

2020

21

Blow-Up Solutions to 3D Euler are Hydrodynamically Unstable

Vasseur, Alexis F., Vishik, Misha

Journal:

Communications in Mathematical Physics

Year:

2020

File:

PDF, 286 KB

2020

22

Higher derivatives estimate for the 3D Navier–Stokes equation

Journal:

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

Year:

2010

Language:

english

File:

PDF, 205 KB

english, 2010

23

Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations

Irene M. Gamba, Ansgar Jüngel, Alexis Vasseur

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 252 KB

english, 2009

24

estimates for quantities advected by a compressible flow

Antoine Mellet, Alexis Vasseur

Journal:

Journal of Mathematical Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 243 KB

english, 2009

25

Classical and quantum transport in random media

Frédéric Poupaud, Alexis Vasseur

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2003

Language:

english

File:

PDF, 297 KB

english, 2003

26

Weak in Space, Log in Time Improvement of the Ladyženskaja–Prodi–Serrin Criteria

Clayton Bjorland, Alexis Vasseur

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2011

Language:

english

File:

PDF, 213 KB

english, 2011

27

On Spherically Symmetric Motions Of a Viscous Compressible Barotropic and Selfgravitating Gas

Bernard Ducomet, Šárka Nečasová, Alexis Vasseur

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2011

Language:

english

File:

PDF, 327 KB

english, 2011

28

On global motions of a compressible barotropic and selfgravitating gas with density-dependent viscosities

Bernard Ducomet, Šárka Nečasová, Alexis Vasseur

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2010

Language:

english

File:

PDF, 222 KB

english, 2010

29

Strong Traces for Solutions to Scalar Conservation Laws with General Flux

Young-Sam Kwon, Alexis Vasseur

Journal:

Archive for Rational Mechanics and Analysis

Year:

2007

Language:

english

File:

PDF, 218 KB

english, 2007

30

Strong Traces for Solutions of Multidimensional Scalar Conservation Laws

Journal:

Archive for Rational Mechanics and Analysis

Year:

2001

Language:

english

File:

PDF, 116 KB

english, 2001

31

A bound from below for the temperature in compressible Navier–Stokes equations

Antoine Mellet, Alexis Vasseur

Journal:

Monatshefte für Mathematik

Year:

2009

Language:

english

File:

PDF, 208 KB

english, 2009

32

From Discrete Velocity Boltzmann Equations to Gas Dynamics Before Shocks

Florent Berthelin, Athanasios E. Tzavaras, Alexis Vasseur

Journal:

Journal of Statistical Physics

Year:

2009

Language:

english

File:

PDF, 456 KB

english, 2009

33

Some Remarks on Large-Time Asymptotic of the Lifshitz–Slyozov Equations

Jean-François Collet, Thierry Goudon, Alexis Vasseur

Journal:

Journal of Statistical Physics

Year:

2002

Language:

english

File:

PDF, 150 KB

english, 2002

34

Kinetic Semidiscretization of Scalar Conservation Laws and Convergence by Using Averaging Lemmas

Vasseur, Alexis

Journal:

SIAM Journal on Numerical Analysis

Year:

1999

Language:

english

File:

PDF, 2.35 MB

english, 1999

35

Existence and Properties of Semidiscrete Shock Profiles for the Isentropic Gas Dynamic System with $\gamma=3$

Vasseur, Alexis

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 193 KB

english, 2001

36

A Rigorous Derivation of the Coupling of a Kinetic Equation and Burgers’ Equation

Alexis F. Vasseur

Journal:

Archive for Rational Mechanics and Analysis

Year:

2012

Language:

english

File:

PDF, 311 KB

english, 2012

37

A Bound from Below on the Temperature for the Navier--Stokes--Fourier System

Baer, Eric, Vasseur, Alexis

Journal:

SIAM Journal on Mathematical Analysis

Year:

2013

Language:

english

File:

PDF, 245 KB

english, 2013

38

Kinetic Semidiscretization of Scalar Conservation Laws and Convergence by Using Averaging Lemmas

Journal:

SIAM Journal on Numerical Analysis

Year:

1999

Language:

english

File:

PDF, 678 KB

english, 1999

39

Asymptotic limit to a shock for BGK models using relative entropy method

Kwon, Young-Sam, Vasseur, Alexis F

Journal:

Year:

2015

Language:

english

File:

PDF, 2.31 MB

english, 2015

40

Global Regularity of Solutions to Systems of Reaction–Diffusion with Sub-Quadratic Growth in Any Dimension

Caputo, M. Cristina, Vasseur, Alexis

Journal:

Communications in Partial Differential Equations

Year:

2009

Language:

english

File:

PDF, 171 KB

english, 2009

41

[Handbook of Differential Equations: Evolutionary Equations] Volume 4 || Chapter 7 Recent Results on Hydrodynamic Limits

Vasseur, Alexis F.

Year:

2008

Language:

english

File:

PDF, 427 KB

english, 2008

42

Equilibrium Schemes for Scalar Conservation Laws with Stiff Sources

Ramaz Botchorishvili, Benoit Perthame and Alexis Vasseur

Journal:

Mathematics of Computation

Year:

2003

Language:

english

File:

PDF, 664 KB

english, 2003

43

Global Weak Solutions to the Inviscid 3D Quasi-Geostrophic Equation

Puel, Marjolaine, Vasseur, Alexis F.

Journal:

Communications in Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 512 KB

english, 2015

44

Existence and Properties of Semidiscrete Shock Profiles for the Isentropic Gas Dynamic System with γ=3

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 391 KB

english, 2001

45

Asymptotic analysis of Vlasov-type equations under strong local alignment regime

Kang, Moon-Jin, Vasseur, Alexis F.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2015

Language:

english

File:

PDF, 246 KB

english, 2015

46

Global Weak Solutions to the Compressible Quantum Navier--Stokes Equations with Damping

Vasseur, Alexis F., Yu, Cheng

Journal:

SIAM Journal on Mathematical Analysis

Year:

2016

Language:

english

File:

PDF, 242 KB

english, 2016

47

L2-contraction for shock waves of scalar viscous conservation laws

Kang, Moon-Jin, Vasseur, Alexis F.

Journal:

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

Year:

2015

Language:

english

File:

PDF, 801 KB

english, 2015

48

The Inviscid Limit to a Contact Discontinuity for the Compressible Navier--Stokes--Fourier System Using the Relative Entropy Method

Vasseur, Alexis, Wang, Yi

Journal:

SIAM Journal on Mathematical Analysis

Year:

2015

Language:

english

File:

PDF, 158 KB

english, 2015

49

Short-Time Stability of Scalar Viscous Shocks in the Inviscid Limit by the Relative Entropy Method

Choi, Kyudong, Vasseur, Alexis F.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2015

Language:

english

File:

PDF, 185 KB

english, 2015

50

Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation

Bostan, Mihai, Gamba, Irene M., Goudon, Thierry, Vasseur, Alexis

Journal:

Indiana University Mathematics Journal

Year:

2010

Language:

english

File:

PDF, 380 KB

english, 2010