On stationary solutions of the Vlasov-Poisson equations

被引：6

作者：

Pokhozhaev, S. I. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Stationary Solution; Steklov Institute; Poisson Equation; Boltzmann Distribution; Young Inequality;

D O I：

10.1134/S0012266110040087

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of stationary solutions of the Vlasov-Poisson equations for x a a"e (N) . We prove the absence of stationary solutions represented by Maxwell-Boltzmann distributions.

引用

页码：530 / 537

页数：8

共 13 条

[1]

ARSENEV AA, 1992, LEKTSII KINETICHESKI

[2] SOME FAMILIES OF SOLUTIONS OF THE VLASOV-POISSON SYSTEM [J].

BATT, J ;

BERESTYCKI, H ;

DEGOND, P ;

PERTHAME, B .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1988, 104 (01) :79-103

[3] STATIONARY SPHERICALLY SYMMETRICAL MODELS IN STELLAR DYNAMICS [J].

BATT, J ;

FALTENBACHER, W ;

HORST, E .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 93 (02) :159-183

[4] GLOBAL AND LOCAL BEHAVIOR OF POSITIVE SOLUTIONS OF NON-LINEAR ELLIPTIC-EQUATIONS [J].

GIDAS, B ;

SPRUCK, J .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1981, 34 (04) :525-598

[5] ON SOLUTIONS OF DELTA-U= F(U) [J].

KELLER, JB .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1957, 10 (04) :503-510

[6]

Mitidieri E., 2001, Tr Mat Inst Steklova, V234, P1

[7]

Osserman R., 1957, Pacific J Math, V7, P1641, DOI [10.2140/pjm, DOI 10.2140/PJM]

[8]

POKHOZHAEV SI, 1965, DOKL AKAD NAUK SSSR+, V165, P36

[9] TRANSPORT EQUATIONS WITH UNBOUNDED FORCE FIELDS AND APPLICATION TO THE VLASOV-POISSON EQUATION [J].

Salort, Delphine .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2009, 19 (02) :199-228

[10]

VEDENYAPIN VV, 2001, KINETICHESKIE URAVNE

← 1 2 →