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Large-time Behavior of Solutions to the Stokes Approximation Equations for Two Dimensional Compressible Flows

✍ Scribed by Zhen-hua Guo

Publisher: Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2005
Tongue: English
Weight: 206 KB
Volume: 21
Category: Article
ISSN: 0168-9673
DOI: 10.1007/s10255-005-0271-6

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## Abstract We consider the Navier–Stokes equations for compressible, barotropic flow in two space dimensions. We introduce useful tools from the theory of Orlicz spaces. Then we prove the existence of globally defined finite energy weak solutions for the pressure satisfying __p__(__ϱ__) = __aϱ__lo