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Global existence for the 2D Navier-Stokes flow in the exterior of a moving or rotating obstacle

Authors :
Bin Han
Shuguang Shao
Shu Wang
Wen-Qing Xu
Source :
Kinetic and Related Models. 9:767-776
Publication Year :
2016
Publisher :
American Institute of Mathematical Sciences (AIMS), 2016.

Abstract

We consider the global existence of the two-dimensional Navier-Stokes flow in the exterior of a moving or rotating obstacle. Bogovski$\check{i}$ operator on a subset of $\mathbb{R}^2$ is used in this paper. One important thing is to show that the solution of the equations does not blow up in finite time in the sense of some $L^2$ norm. We also obtain the global existence for the 2D Navier-Stokes equations with linearly growing initial velocity.

Details

ISSN :
19375093
Volume :
9
Database :
OpenAIRE
Journal :
Kinetic and Related Models
Accession number :
edsair.doi...........52330596df5c6236d2fbfe167b03a9f0