Electron. J. Diff. Equ., Vol. 2016 (2016), No. 128, pp. 1-8.

Blow-up criteria of smooth solutions to a 3D model of electro-kinetic fluids in a bounded domain

Miaochao Chen, Qilin Liu

We prove that a smooth solution of a 3D model for electro-kinetic fluids in a bounded domain breaks down blows up at the same time as certain norm of vorticity. This norm is weaker than bmo-norm.

Submitted August 8, 2015. Published May 19, 2016.
Math Subject Classifications: 35Q30, 76D03, 76D05, 76D07.
Key Words: Euler system; regularity criterion; bounded domain; bmo.

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Miaochao Chen
School of Applied Mathematics
Chaohu University
Hefei 238000, China
email: chenmiaochao@chu.edu.cn
Qilin Liu
Department of Mathematics
Southeast University
Nanjing 211189, China
email: Liuqlseu@126.com

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