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

查看全文 作　　者：DUAN [1]RenJun;LIU [2]ShuangQian;YIN [3]HaiYan;ZHU [4]ChangJiang

机构地区：[1]Department of Mathematics, The Chinese University of Hong Kong;[2]Department of Mathematics, Jinan University;[3]School of Mathematical Sciences, Huaqiao University;[4]School of Mathematics, South China University of Technology

出　　处：《Science China Mathematics》索引2016年第59卷第1期,共18页

基　　金：supported by the General Research Fund from Research Grants Council of Hong Kong(Grant No.400912);National Natural Science Foundation of China(Grant Nos.11101188;11471142and 11331005);the Program for Changjiang Scholars and Innovative Research Team in University(Grant No.IRT13066) 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 θ_i,+/θ_e,+=θ_i,-/θ_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. 关键词：稀疏波体模型等离子流体扩散稳定性欧拉方程小扰动

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

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