Stability of the rarefaction wave for a two-fluid plasma model with diffusion

被引：26

作者：

Duan RenJun ^{[1
]}

Liu ShuangQian ^{[2
]}

Yin HaiYan ^{[3
]}

Zhu ChangJiang ^{[4
]}

机构：

[1] Chinese Univ Hong Kong, Dept Math, Hong Kong 999077, Hong Kong, Peoples R China

[2] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China

[3] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

[4] S China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2016年 / 59卷 / 01期

基金：

中国国家自然科学基金;

关键词：

two-fluid plasma model; rarefaction wave; stability; STOKES-POISSON SYSTEM; GLOBAL EXISTENCE; NAVIER; EQUATIONS; LIMIT;

D O I：

10.1007/s11425-015-5059-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the large-time asymptotics of solutions toward the weak rarefaction wave of the quasineutral Euler system for a two-fluid plasma model in the presence of diffusions of velocity and temperature under small perturbations of initial data and also under an extra assumption theta(i),+/theta(e),(+) = theta(i),/theta(e,-) >= m(i)/2m(e) namely, the ratio of the thermal speeds of ions and electrons at both far fields is not less than one half. Meanwhile, we obtain the global existence of solutions based on energy method.

引用

页码：67 / 84

页数：18

共 25 条

[1]

[Anonymous], 1984, CHEN

[2] A quasineutral type limit for the Navier-Stokes-Poisson system with large data [J].

Donatelli, D. ;

Marcati, P. .

NONLINEARITY, 2008, 21 (01) :135-148

[3] Local and global existence for the coupled Navier-Stokes-Poisson problem [J].

Donatelli, D .

QUARTERLY OF APPLIED MATHEMATICS, 2003, 61 (02) :345-361

[4]

Duan R J, 2014, ARXIV14052522

[5] Stability of rarefaction waves of the Navier-Stokes-Poisson system [J].

Duan, Renjun ;

Liu, Shuangqian .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (07) :2495-2530

[6] STABILITY OF RAREFACTION WAVE AND BOUNDARY LAYER FOR OUTFLOW PROBLEM ON THE TWO-FLUID NAVIER-STOKES-POISSON EQUATIONS [J].

Duan, Renjun ;

Yang, Xiongfeng .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (02) :985-1014

[7] A remark about global existence for the Navier-Stokes-Poisson system [J].

Ducomet, B .

APPLIED MATHEMATICS LETTERS, 1999, 12 (07) :31-37

[8] Global Smooth Ion Dynamics in the Euler-Poisson System [J].

Guo, Yan ;

Pausader, Benoit .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 303 (01) :89-125

[9] The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data [J].

Ju, Qiangchang ;

Li, Fucai ;

Li, Hailiang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (01) :203-224

[10] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS FOR THE EQUATIONS OF A VISCOUS HEAT-CONDUCTIVE GAS [J].

KAWASHIMA, S ;

MATSUMURA, A ;

NISHIHARA, K .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1986, 62 (07) :249-252

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