Localization theorem for the problem of rotary viscous compressible fluid dynamics
β Scribed by A. V. Glushko; S. O. Rybakov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 687 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
We study the NavierβStokes equations for compressible barotropic fluids in a domain Ξ©βR 3 . We first prove the local existence of the unique strong solution, provided the initial data satisfy a natural compatibility condition. The initial density needs not be bounded away from zero; it may vanish in
## Abstract The linearized initial boundary value problem describing the motion of the viscous compressible fluid is studied under Dirichlet zero condition in bounded and unbounded domains. The resolvent estimate for the corresponding operator is proved in the __L~p~__ framework and the sharp inner