UNIQUENESS OF WEAK SOLUTIONS TO A MODEL OF ELECTRO-KINETIC FLUID

被引：0

作者：

Fan, Jishan ^{[1
,2
]}

Gao, Hongjun ^{[1
,3
]}

机构：

[1] Nanjing Normal Univ, Sch Math & Comp Sci, Inst Math, Nanjing 210097, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

[3] Nanjing Univ, Ctr Nonlinear Sci, Nanjing 210093, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2009年 / 7卷 / 02期

关键词：

Uniqueness; weak solution; electro-kinetic fluid; EQUATIONS; SYSTEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the uniqueness of weak solutions to a model of electro-kinetic fluid which consists of a momentum equation together with transport equations of charges. Our result is new in that it hold seven when the momentum vanishes. The existence of weak solutions has been proved in [P. Biler, W. Hebisch and T. Nadzieja, Nonlinear Anal. TMA, 23, 1189-1209, 1994], [R. Ryham, C. Liu and Z-Q. Wang, Preprint, 2005], [R. Ryham, arXiv: 0810.2064 v1 (math.AP) 12, Oct 2008].

引用

页码：411 / 421

页数：11

共 18 条

[1] Induced-charge electrokinetic phenomena: Theory and microfluidic applications [J].