Global existence in critical spaces for compressible Navier-Stokes equations
✍ Scribed by R. Danchin
- Publisher
- Springer-Verlag
- Year
- 2000
- Tongue
- English
- Weight
- 274 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0020-9910
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📜 SIMILAR VOLUMES
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
We prove the global existence of a unique strong solution to the compressible Navier-Stokes equations when the initial perturbation is small in H 2 . If further that the L 1 norm of initial perturbation is finite, we prove the optimal L 2 decay rates for such a solution and its first-order spatial d