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

Jishan Fan; Gen Nakamura; Yong Zhou

doi:10.1016/j.aml.2011.07.004

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

Journal article

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

Jishan Fan, Gen Nakamura and Yong Zhou

Applied mathematics letters, Vol.25(1), pp.33-37

2012

DOI: https://doi.org/10.1016/j.aml.2011.07.004

Abstract

Electro-hydrodynamics

Euler equations

Regularity criterion

In this paper, we consider the Cauchy problem for a model of electro-hydrodynamics in R d ( 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.

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Title: On the Cauchy problem for a model of electro-kinetic fluid
Creators - without role: Jishan Fan - Nanjing Forestry University
Gen Nakamura - Hokkaido University
Yong Zhou - Zhejiang Normal University
Publication Details: Applied mathematics letters, Vol.25(1), pp.33-37
Publisher: Elsevier Ltd
Identifiers: 9936678308331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article