GLOBAL CONVERGENCE OF AN ISENTROPIC EULER-POISSON SYSTEM IN R+ x Rd

被引：0

作者：

Tian, Huimin ^{[1
]}

Peng, Yue-Jun ^{[2
]}

Zhang, Lingling ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R China

[2] Univ Clermont Auvergne, CNRS, Lab Math Blaise Pascal, F-63000 Clermont Ferrand, France

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Euler-Poisson system; uniform global smooth solution; energy estimate; compactness and convergence; QUASI-NEUTRAL LIMIT; ELECTRON-MASS LIMIT; HYDRODYNAMIC MODEL; SMOOTH SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the global-in-time convergence of an Euler-Poisson system near a constant equilibrium state in the whole space R-d, as physical parameters tend to zero. The result follows from the uniform global existence of smooth solutions by means of energy estimates together with compactness arguments. For this purpose, we establish uniform estimates for div u and curl u instead of del u.

引用

页码：710 / 726

页数：17

共 23 条

[1] Global existence of smooth solutions of the N-dimensional Euler-Poisson model [J].

Alì, G .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2003, 35 (02) :389-422

[2] The zero-electron-mass limit in the hydrodynamic model for plasmas [J].

Ali, Giuseppe ;

Chen, Li ;

Juengel, Ansgar ;

Peng, Yue-Jun .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) :4415-4427

[3]

[Anonymous], 1984, Applied Mathematical Sciences

[4]

[Anonymous], 1986, Annali di Matematica Pura ed Applicata, DOI [DOI 10.1007/BF01762360.MR916688, DOI 10.1007/BF01762360]

[5]

[Anonymous], PUBLICATIONS MATH OR

[6]

CHEMIN JY, 1995, ASTERISQUE, P3

[7]

Chen FF, 1984, Introduction to plasma physics and controlled fusion

[8] Quasineutral limit of an Euler-Poisson system arising from plasma physics [J].

Cordier, S ;

Grenier, E .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2000, 25 (5-6) :1099-1113

[9] Quasineutral Limit of the Euler-Poisson System for Ions in a Domain with Boundaries [J].

Gerard-Varet, David ;

Han-Kwan, Daniel ;

Rousset, Frederic .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2013, 62 (02) :359-402

[10] NONNEUTRAL GLOBAL SOLUTIONS FOR THE ELECTRON EULER-POISSON SYSTEM IN THREE DIMENSIONS [J].

Germain, Pierre ;

Masmoudi, Nader ;

Pausader, Benoit .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2013, 45 (01) :267-278

← 1 2 3 →