DISPERSION AND UNIFORM L1-STABILITY ESTIMATES OF THE VLASOV-POISSON SYSTEM IN A HALF SPACE

被引：0

作者：

Chae, Myeongju ^{[1
]}

Ha, Seung-Yeal ^{[2
]}

Hwang, Hyung Ju ^{[3
]}

机构：

[1] Hankyong Natl Univ, Dept Appl Math, Ansong 456749, South Korea

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[3] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2009年 / 7卷 / 01期

关键词：

Dispersion estimates; initial-boundary value problem; Vlasov-Poisson system; uniform L-1-stability; IN-TIME SOLUTIONS; GLOBAL EXISTENCE; BOLTZMANN-EQUATION; SYMMETRIC-SOLUTIONS; STABILITY; REGULARITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study explicit dispersion and uniform L-1-stability estimates to the Vlasov-Poisson system for a collisionless plasma in a half space, when the initial data is sufficiently small and decays fast enough in phase space. This extends the previous results on the dispersion and stability estimates for the whole space case.

引用

页码：189 / 209

页数：21

共 50 条

[41] Stability and Conservation Properties of Hermite-Based Approximations of the Vlasov-Poisson System
Funaro, Daniele
Manzini, Gianmarco
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 88 (01)
[42] LINEAR-STABILITY OF STATIONARY SOLUTIONS OF THE VLASOV-POISSON SYSTEM IN 3 DIMENSIONS
BATT, J
MORRISON, PJ
REIN, G
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1995, 130 (02) : 163 - 182
[43] OPTIMAL Lβ-CONTROL FOR THE GLOBAL CAUCHY PROBLEM OF THE RELATIVISTIC VLASOV-POISSON SYSTEM
Young, Brent
TRANSPORT THEORY AND STATISTICAL PHYSICS, 2011, 40 (6-7): : 331 - 359
[44] Driven electrostatic phase space vortices in a 1D weakly dissipative Vlasov-Poisson system
Trivedi, Pallavi
Ganesh, Rajaraman
PHYSICS OF PLASMAS, 2020, 27 (03)
[45] Existence and stability of static shells for the Vlasov-Poisson system with a fixed central point mass
Schulze, Achim
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2009, 146 : 489 - 511
[46] Decay estimates of solutions to the N-species Vlasov-Poisson system with small initial data
Wang, Yichun
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (17) : 13099 - 13115
[47] UNIFORM L1-STABILITY OF THE RELATIVISTIC BOLTZMANN EQUATION NEAR VACUUM
Ha, Seung-Yeal
Jeong, Eunhee
Strain, Robert M.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (02) : 1141 - 1161
[48] AN ACTION PRINCIPLE FOR THE VLASOV EQUATION AND ASSOCIATED LIE PERTURBATION EQUATIONS .1. THE VLASOV-POISSON SYSTEM
LARSSON, J
JOURNAL OF PLASMA PHYSICS, 1992, 48 : 13 - 35
[49] Permanent regimes for the 1D Vlasov-Poisson system with boundary conditions
Bostan, M
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2003, 35 (04) : 922 - 948
[50] ON THE INITIAL-BOUNDARY-VALUE PROBLEM FOR THE VLASOV-POISSON SYSTEM - EXISTENCE OF WEAK SOLUTIONS AND STABILITY
WECKLER, J
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1995, 130 (02) : 145 - 161

← 1 2 3 4 5 →