Global well-posedness of the 2D micropolar fluid flows with mixed dissipation

This article concerns the global well-posedness of the 2D micropolar fluid flows with mixed dissipation: $$ -\partial_{yy}(-\Delta)^\alpha u_1,\quad -\partial_{xx}(-\Delta)^\alpha u_2,\quad (-\Delta)^\beta w. $$ We prove the existence and uniqueness of global smooth solution of 2D micropol...

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Bibliographic Details
Main Authors: Yan Jia, Wenjuan Wang, Bo-Qing Dong
Format: Article
Language:English
Published: Texas State University 2016-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/154/abstr.html