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On the Cauchy problem for a model of electro-kinetic fluid

Authors :
Gen Nakamura
Yong Zhou
Jishan Fan
Source :
Applied Mathematics Letters. 25:33-37
Publication Year :
2012
Publisher :
Elsevier BV, 2012.

Abstract

In this paper, we consider the Cauchy problem for a model of electro-hydrodynamics in Rd(d=2,3). When d=2, we prove that the model has a unique global-in-time smooth solution. When d=3, we prove a regularity criterion in terms of the vorticity field only.

Details

ISSN :
08939659
Volume :
25
Database :
OpenAIRE
Journal :
Applied Mathematics Letters
Accession number :
edsair.doi.dedup.....85c481c342ef291ed7007c08530ac1e4
Full Text :
https://doi.org/10.1016/j.aml.2011.07.004