Alexis VASSEUR
Published and Accepted Articles in refereed Journals:
[1] L. Caffarelli, A. Vasseur, Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. [pdf], To appear in Annals of math..
[2] N.Leger, A. Vasseur, Study of a generalized fragmentation model for sprays. [pdf],
To appear in the Journal of Hyperbolic Differential Equations.
[3] 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.
[4] Ch.-H. Chan, A. Vasseur, Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. [pdf]
To appear in the Methods and Applications of Analysis.
[5] A. Vasseur, Recent results on hydrodynamic limits, Chapter for Handbook on Evolutionary Differential Equations, Elsevier.
[6] A. Vasseur, Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity. [pdf]
To appear in Applications of Mathematics.
[7] A. Mellet, A. Vasseur, A bound from below for the temperature in compressible Navier-Stokes equations. [pdf]
To appear in Monatshefte fur Mathematik.
[8] A. Mellet, A. Vasseur, Asymptotic analysis for a Vlasov-Fokker-Planck/Compressible Navier-Stokes system of equations. [pdf]
To appear in CMP.
[9] 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.
[10] 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.
[11] A. Mellet and A. Vasseur, On the barotropic compressible Navier-Stokes equations. [pdf]
Comm. Partial Differential Equations 32 (2007), no. 1-3, 431--452.
[12] 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.
[13] 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.
[14] A. Mellet and A. Vasseur, Homogenization of a nonlinear transport equation, [pdf]
Asymptot. Anal. 51 (2007), no. 2, 157--166.
[15] F. Berthelin and A. Vasseur, From kinetic equations to
multidimensional isentropic dynamics before shocks. [pdf]
SIMA Vol. 36 Number 6, pp. 180-183. 2005.
[16] 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.
[17] 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.
[18] 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.
[19] F.Poupaud and A.Vasseur,
Classical and quantum transport in random media. [pdf]
J. Math. pures Appl.(9) 82 (2003), no. 6, 711--748.
[20] 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.
[21] 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.
[22] A.Vasseur,
Well-posedness of scalar conservation laws with singular sources. [pdf]
Methods Appl. Anal. 9 (2002), no.2, 291--312.
[23] 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.
[24] 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.
[25] A. Vasseur, Strong traces for solutions to multidimensional scalar conservation laws. [pdf]
Archive for Rational Mechanics and Analysis, 160 (2001), no. 3,
181--193.
[26] 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).
[27] 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.
[28] A. Vasseur,
Time regularity for the system of isentropic gas dynamics with $\gamma=3$.
Communications in Partial Differential Equations (1999) 11-12,
1987--1997.
[29] 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:
[30] 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.
[31] 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.
[32] 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.
[33] 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:
[34] A. Mellet, A. Vasseur, L^p estimates for quantities advected by a compressible flow. [pdf]
[35] Th. Goudon, A. Vasseur, Regularity analysis for systems of reaction-diffusion equations. [pdf]
[36] M. Bostan, M. Gamba, Th. Goudon, A. Vasseur, Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. [pdf]
[37] E. Feireisl, A. Vasseur, New perspectives in fluid dynamics:
Mathematical analysis of a model proposed by
Howard Brenner. [pdf]
[38] A. Vasseur, Rigorous derivation of the Kinetic/Fluid coupling involving a Kinetic layer on a toy problem. [pdf]
[39] F.Berthelin, A.E.Tzavaras, A. Vasseur, From discrete velocity Boltzmann equations to gas dynamics before shocks. [pdf]
Last modification : 11/26/2008.
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