Convergence of a Lagrangian scheme for a compressible Naviers–Stokes model defined on a domain depending on time
✍ Scribed by Fabien Flori; Christian Morelli; Pierre Orenga
- Book ID
- 103845445
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 295 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0362-546X
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## Abstract We prove a general compactness result for the solution set of the compressible Navier–Stokes equations with respect to the variation of the underlying spatial domain. Among various corollaries, we then prove a general existence theorem for the system in question with no restrictions on
## 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