Remarks on the Time Dependent Periodic¶Navier–Stokes Flows on a Two-Dimensional Torus
✍ Scribed by Zhi-Min Chen; W. Geraint Price
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 148 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0010-3616
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## Abstract We consider the Navier–Stokes equations for compressible, barotropic flow in two space dimensions, with pressure satisfying __p__(ϱ)=__a__ϱlog^__d__^(ϱ) for large ϱ, here __d__>1 and __a__>0. After introducing useful tools from the theory of Orlicz spaces, we prove a compactness result
## 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