A Vlasov-Poisson plasma model with non-L1 data

被引：2

作者：

Caprino, S ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2004年 / 27卷 / 18期

关键词：

partial differential equations; Vlasov-Poisson systems; existence and uniqueness of solutions;

D O I：

10.1002/mma.551

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is considered the Vlasov-Poisson equation for a plasma confined in an unbounded cylinder and it is proven an existence and uniqueness result for non-L-1 (but almost L-1) initial charge distribution. Copyright (C) 2004 John Wiley Sons, Ltd.

引用

页码：2211 / 2229

页数：19

共 14 条

[1]

BATT J, 1977, J DIFFER EQUATIONS, V25, P346

[2] The Vlasov equation with infinite mass [J].

Caglioti, E ;

Caprino, S ;

Marchioro, C ;

Pulvirenti, M .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2001, 159 (02) :85-108

[3] On the two-dimensional Vlasov-Helmholtz equation with infinite mass [J].

Caprino, S ;

Marchioro, C ;

Pulvirenti, M .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2002, 27 (3-4) :791-808

[4]

Glassey RT., 1996, CAUCHY PROBLEM KINET, DOI 10.1137/1.9781611971477

[5]

Horst E., 1982, MATH METHOD APPL SCI, V4, P19, DOI 10.1002/mma.1670040104

[6]

Horst E., 1981, Mathematical Methods in the Applied Sciences, V3, P229, DOI 10.1002/mma.1670030117

[7] PROPAGATION OF MOMENTS AND REGULARITY FOR THE 3-DIMENSIONAL VLASOV-POISSON SYSTEM [J].

LIONS, PL ;

PERTHAME, B .

INVENTIONES MATHEMATICAE, 1991, 105 (02) :415-430

[8]

NEUNZERT H, 1984, LECT NOTES MATH, V1048, P60

[9] GLOBAL CLASSICAL-SOLUTIONS OF THE VLASOV-POISSON SYSTEM IN 3 DIMENSIONS FOR GENERAL INITIAL DATA [J].

PFAFFELMOSER, K .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1992, 95 (02) :281-303

[10] Steady spatial asymptotics for the Vlasov-Poisson system [J].

Schaeffer, J .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2003, 26 (04) :273-296

← 1 2 →