HYDRODYNAMIC LIMITS OF THE VLASOV EQUATION

被引:27
作者
CAPRINO, S
ESPOSITO, R
MARRA, R
PULVIRENTI, M
机构
[1] UNIV ROMA TOR VERGATA,DIPARTIMENTO MATEMAT,I-00133 ROME,ITALY
[2] UNIV ROMA TOR VERGATA,DIPARTIMENTO FIS,I-00133 ROME,ITALY
[3] UNIV ROMA LA SAPIENZA,DIPARTIMENTO MATEMAT,I-00185 ROME,ITALY
关键词
HYDRODYNAMIC LIMIT; VLASOV EQUATION; EULER EQUATION;
D O I
10.1080/03605309308820951
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the Vlasov equation for repulsive forces in the hydrodynamic regime. For initial distributions at zero temperature the limit equations turn out to be the compressible and incompressible Euler equations under suitable space-time scalings.
引用
收藏
页码:805 / 820
页数:16
相关论文
共 17 条
[1]   FLUID DYNAMIC LIMITS OF KINETIC-EQUATIONS .1. FORMAL DERIVATIONS [J].
BARDOS, C ;
GOLSE, F ;
LEVERMORE, D .
JOURNAL OF STATISTICAL PHYSICS, 1991, 63 (1-2) :323-344
[2]  
BARDOS C, FLUID DYNAMICAL LIMI, V2
[3]  
BARDOS C, 1991, CLASSICAL INCOMPRESS
[4]   VLASOV DYNAMICS AND ITS FLUCTUATIONS IN 1-N LIMIT OF INTERACTING CLASSICAL PARTICLES [J].
BRAUN, W ;
HEPP, K .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 56 (02) :101-113
[5]   THE FLUID DYNAMIC LIMIT OF THE NON-LINEAR BOLTZMANN-EQUATION [J].
CAFLISCH, RE .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (05) :651-666
[6]   INCOMPRESSIBLE NAVIER-STOKES AND EULER LIMITS OF THE BOLTZMANN-EQUATION [J].
DEMASI, A ;
ESPOSITO, R ;
LEBOWITZ, JL .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1989, 42 (08) :1189-1214
[7]  
Dobrushin R., 1979, FUNCT ANAL APPL, V13, P115
[8]   SINGULAR LIMITS OF QUASILINEAR HYPERBOLIC SYSTEMS WITH LARGE PARAMETERS AND THE INCOMPRESSIBLE LIMIT OF COMPRESSIBLE FLUIDS [J].
KLAINERMAN, S ;
MAJDA, A .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1981, 34 (04) :481-524
[9]   COMPRESSIBLE AND INCOMPRESSIBLE FLUIDS [J].
KLAINERMAN, S ;
MAJDA, A .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1982, 35 (05) :629-651
[10]   ON THE INITIAL LAYER AND THE EXISTENCE THEOREM FOR THE NONLINEAR BOLTZMANN-EQUATION [J].
LACHOWICZ, M .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1987, 9 (03) :342-366