ON LONG-TIME ASYMPTOTICS OF THE VLASOV-POISSON-BOLTZMANN EQUATION

被引：60

作者：

DESVILLETTES, L ^{[1
]}

DOLBEAULT, J ^{[1
]}

机构：

[1] UNIV PARIS DAUPHINE 9,F-75775 PARIS 16,FRANCE

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1991年 / 16卷 / 2-3期

关键词：

D O I：

10.1080/03605309108820765

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the long time asymptotics of the Vlasov-Poisson-Boltzmann equation. We prove existence and uniqueness for the equation giving the electric potential at the limit.

引用

页码：451 / 489

页数：39

共 19 条

[1]

ARKERYD A, LONG TIME BEHAVIOUR

[2]

Cercignani C., 1988, BOLTZMANN EQUATION I

[3]

Chapman S, 1958, MATH THEORY NONUNIFO

[4] CONVERGENCE TO EQUILIBRIUM IN LARGE TIME FOR BOLTZMANN AND BGK EQUATIONS [J].

DESVILLETTES, L .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 110 (01) :73-91

[5]

DIPERNA R, 1988, CR ACAD SCI I-MATH, V307, P655

[6]

DIPERNA R, 1991, SEM MAT TORINO

[7]

DIPERNA R, 1989, ARCH RATION MECH AN, P105

[8] GLOBAL WEAK SOLUTIONS OF VLASOV-MAXWELL SYSTEMS [J].

DIPERNA, RJ ;

LIONS, PL .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1989, 42 (06) :729-757

[9] ON THE FOKKER-PLANCK-BOLTZMANN EQUATION [J].

DIPERNA, RJ ;

LIONS, PL .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 120 (01) :1-23

[10] ON THE CAUCHY-PROBLEM FOR BOLTZMANN EQUATIONS - GLOBAL EXISTENCE AND WEAK STABILITY [J].

DIPERNA, RJ ;

LIONS, PL .

ANNALS OF MATHEMATICS, 1989, 130 (02) :321-366

← 1 2 →