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Global existence of solutions to the compressible Navier–Stokes equation around parallel flows

✍ Scribed by Yoshiyuki Kagei


Book ID
113699140
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
461 KB
Volume
251
Category
Article
ISSN
0022-0396

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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