Global existence for the non-isentropic compressible Navier–Stokes–Poisson system in three and higher dimensions
✍ Scribed by Zhong Tan; Guochun Wu
- Book ID
- 113824011
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 309 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1468-1218
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We study the isentropic compressible Navier–Stokes equations with radially symmetric data in an annular domain. We first prove the global existence and regularity results on the radially symmetric __weak solutions__ with non‐negative bounded densities. Then we prove the global existence
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