Alexis VASSEUR

Published and Accepted Articles in refereed Journals:

[1] Th. Goudon, A. Vasseur, Regularity analysis for systems of reaction-diffusion equations. [pdf], To appear in the Annales de l'Ecole Normale Superieure.

[2] A. Vasseur, Rigorous derivation of the Kinetic/Fluid coupling involving a Kinetic layer on a toy problem. [pdf], To appear in ARMA.

[3] C.Caputo, A. Vasseur, Global regularity of solutions to systems of reaction-diffusion wity sub-quadratic growth in any dimension. [pdf], To appear in CPDE.

[4] F.Berthelin, A.E.Tzavaras, A. Vasseur, From discrete velocity Boltzmann equations to gas dynamics before shocks. [pdf], To appear in Journal of Statistical Physics.

[5] A. Mellet, A. Vasseur, L^p estimates for quantities advected by a compressible flow. [pdf], To appear in JMAA.

[6] L. Caffarelli, A. Vasseur, Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. [pdf], To appear in Annals of math..

[7] N.Leger, A. Vasseur, Study of a generalized fragmentation model for sprays. [pdf], To appear in the Journal of Hyperbolic Differential Equations.

[8] C.Michoski, A. Vasseur. Existence and Uniqueness of strong solutions for a compressible multiphase Navier-Stokes Miscible Fluid-Flow Problem in dimension 1. [pdf] To appear in Mathematical Models and Methods in Applied Sciences.

[9] Ch.-H. Chan, A. Vasseur, Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. [pdf]
Methods Appl. Anal. 14 (2007), no. 2, 197--212.

[10] A. Vasseur, Recent results on hydrodynamic limits, Chapter for Handbook on Evolutionary Differential Equations, Elsevier.

[11] A. Vasseur, Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity. [pdf]
Appl. Math. 54 (2009), no. 1, 47--52.

[12] A. Mellet, A. Vasseur, A bound from below for the temperature in compressible Navier-Stokes equations. [pdf]
To appear in Monatshefte fur Mathematik.

[13] A. Mellet, A. Vasseur, Asymptotic analysis for a Vlasov-Fokker-Planck/Compressible Navier-Stokes system of equations. [pdf]
Comm. Math. Phys. 281 (2008), no. 3, 573--596.

[14] A. Mellet and A. Vasseur, Existence and Uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations. [pdf]
SIAM J. Math. Anal. 39 (2007/08), no. 4, 1344--1365.

[15] A. Mellet and A. Vasseur, Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. [pdf]
Math. Models Methods Appl. Sci. 17 (2007), no. 7, 1039--1063.

[16] A. Mellet and A. Vasseur, On the barotropic compressible Navier-Stokes equations. [pdf]
Comm. Partial Differential Equations 32 (2007), no. 1-3, 431--452.

[17] Y.-S. Kwon and A. Vasseur, Strong traces for solutions to scalar conservation laws with general flux. [pdf]
Arch. Ration. Mech. Anal. 185 (2007), no. 3, 495--513.

[18] A. Vasseur, A new proof of partial regularity of solutions to Navier-Stokes equations. [pdf]
NoDEA Nonlinear Differential Equations Appl. 14 (2007), no. 5-6, 753--785.

[19] A. Mellet and A. Vasseur, Homogenization of a nonlinear transport equation, [pdf]
Asymptot. Anal. 51 (2007), no. 2, 157--166.

[20] F. Berthelin and A. Vasseur, From kinetic equations to multidimensional isentropic dynamics before shocks. [pdf]
SIMA Vol. 36 Number 6, pp. 180-183. 2005.

[21] Th. Goudon, P.-E. Jabin and A. Vasseur, Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Parts I: Light particles regime.
Indiana Univ. Math. J. 53 No. 6 (2004), 1495--1516.

[22] Th. Goudon, P.-E. Jabin and A. Vasseur, Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Parts II: fine particles regime.
Indiana Univ. Math. J. 53 No. 6 (2004), 1517--1536.

[23] G. Loeper, and A.Vasseur, Electric turbulence in a plasma subject to a strong magnetic field. [pdf]
Asymptotic Analysis, Vol. 40, Number 1/2004 pages 51-65.

[24] F.Poupaud and A.Vasseur, Classical and quantum transport in random media. [pdf]
J. Math. pures Appl.(9) 82 (2003), no. 6, 711--748.

[25] R.Botchorishvili, B.Perthame and A.Vasseur, Equilibrium schemes for scalar conservation laws with stiff sources. [pdf]
Math. of Comp. 72 (2003), no.241, 131--157.

[26] T. Horsin, S. Mischler and A. Vasseur, On the convergence of numerical schemes for the Boltzmann equation. [pdf]
Ann. Inst. H. Poincare, Anal. Non Lin\'eaire 20 (2003), no.5, 731--758.

[27] A.Vasseur, Well-posedness of scalar conservation laws with singular sources. [pdf]
Methods Appl. Anal. 9 (2002), no.2, 291--312.

[28] J.-F. Collet, T. Goudon, F. Poupaud and A. Vasseur, The Becker-Doring system and its Lifshitz-Slyozov limit. [pdf]
SIAM Journal of Applied Math., 2002, vol 62, 5, p. 1488--1500.

[29] J.-F. Collet, T. Goudon and A. Vasseur, Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations.
J. Stat. Phys., 2002, vol. 108, no 1-2, 341--359.

[30] A. Vasseur, Strong traces for solutions to multidimensional scalar conservation laws. [pdf]
Archive for Rational Mechanics and Analysis, 160 (2001), no. 3, 181--193.

[31] A. Vasseur, Existence and properties of semi-discrete shock profiles for the isentropic gas dynamic system with $\gamma=3$. [pdf]
SIAM J. Numer. Anal. 38 (2001), no. 6, 1886--1901 (electronic).

[32] A.Vasseur, Convergence of a semi-discrete kinetic scheme for the isentropic gas dynamic system with $\gamma=3$.
Indiana University Mathematics Journal 48 (1999), no. 1, 347--364.

[33] A. Vasseur, Time regularity for the system of isentropic gas dynamics with $\gamma=3$.
Communications in Partial Differential Equations (1999) 11-12, 1987--1997.

[34] A. Vasseur, Kinetic semidiscretization of scalar conservation laws and convergence by using averaging lemmas. [pdf]
SIAM J. Numer. Anal. 36 (1999), no. 2, 465--474 (electronic).

Published articles in non refereed Journal:

[35] J.-F. Collet, T. Goudon, S. Hariz, F. Poupaud, A. Vasseur. Some recent results on the kinetic theory of phase transitions.
Transport in transition regimes (Minneapolis,MN,2000), 103--120, IMA Vol. Math. Appl., 135, Springer, New York, 2004.

[36] A.Vasseur, Interface cinetique/fluide: un modele siplifie. (French) [kinetic/fluid interface: a simplified model]
Seminaire: Equations aux Derivees Partielles 2002--2003, Exp. No. III, 15pp., Ecole Poytech., Palaiseau, 2003.

[37] Th. Goudon, P.-E. Jabin, A. Vasseur, Limites hydrodynamiques pour les equations de Vlasov-Stokes. (French)
[Hydrodynamic limits for the Vlasov-Stokes equations]
Journees Equations aux Derivees partielles (Forges-les-eaux, 2002) Exp.No.VII, 15pp.,Univ.Nantes, 2002.

[38] D. Besnard, F. Ducros, Ph. Loreaux, S. Mimouni and A. Vasseur, Turbulent mixing modeling and simulation.
Proceedings of the Fifth International Workshop on Compressible Turbulent Mixing (Stony Brook, NY, 1995), 294--302.

Preprints:

[39] M. Bostan, M. Gamba, Th. Goudon, A. Vasseur, Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. [pdf]

[40] E. Feireisl, A. Vasseur, New perspectives in fluid dynamics: Mathematical analysis of a model proposed by Howard Brenner. [pdf]

[41] I. Gamba, A. Jungel, A. Vasseur, Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. [pdf]

[42] A. Vasseur, Higher derivatives estimate for the 3D Navier-Stokes equation. [pdf]

web hosting