On global existence of weak solutions to a viscous capillary model of plasma

被引：4

作者：

Tang, Tong ^{[1
,2
]}

Gao, Hongjun ^{[3
]}

Xiao, Qingkun ^{[4
]}

机构：

[1] Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

[2] Acad Sci Czech Republ, Inst Math, Zitna 25, Prague 11567 1, Czech Republic

[3] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Jiangsu, Peoples R China

[4] Nanjing Agr Univ, Coll Sci, Dept Math, Nanjing 210095, Jiangsu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 185卷

关键词：

Plasma; Global existence; Weak solutions; COMPRESSIBLE FLUID MODELS; QUASI-NEUTRAL LIMIT; HYDRODYNAMIC MODEL; QUANTUM; KORTEWEG; SYSTEM; EQUATIONS;

D O I：

10.1016/j.na.2019.02.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a viscous capillary model of plasma as a so called Navier-Stokes-Poisson-Korteweg model. Our purpose is to prove the existence of global weak solutions for large data in a two-dimensional torus. We utilize the effective velocity and some interesting identities to remove the restrictions on the coefficients. It is worth pointing out that we prove the critical case that the value of viscosity coefficient is equivalent to the capillary coefficient nu = kappa. In this case, the B-D entropy and method used in Antonelli and Spirito (2017) cannot be applied directly. Moreover, there is no friction term and cold pressure term in the model. In some senses, we improve the previous results. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：1 / 14

页数：14

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