## 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
On the domain dependence of solutions to the compressible Navier–Stokes equations of a barotropic fluid
✍ Scribed by Eduard Feireisl; Antonín Novotný; Hana Petzeltová
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 201 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.327
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✦ Synopsis
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 smoothness of the spatial domain. Copyright © 2002 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
## Abstract The notion of a measure‐valued solution for the Euler and the Navier‐Stokes equations is introduced and its global in time existence is proved.
## Abstract We prove the Lipschitz continuous dependence on initial data of global spherically symmetric weak solutions to the Navier–Stokes equations of a viscous polytropic ideal gas in bounded annular domains with the initial data in the Lebesgue spaces. Copyright © 2007 John Wiley & Sons, Ltd.
## 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
## Abstract In this paper, we consider the Navier–Stokes–Poisson 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