The compressible Navier-Stokes equations for viscous ows with general large continuous initial data, as well as with large discontinuous initial data, are studied. Both a homogeneous free boundary problem with zero outer pressure and a ÿxed boundary problem are considered. For the large initial data
On existence of global solutions to the Navier-Stokes equations for compressible and viscous flows on the surface of a sphere
✍ Scribed by Laura Tonel
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- German
- Weight
- 641 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0430-3202
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📜 SIMILAR VOLUMES
## 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