Global existence and optimal decay rate of the compressible Navier–Stokes–Korteweg equations with external force
✍ Scribed by Yeping Li
- Book ID
- 113721703
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 211 KB
- Volume
- 388
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
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
## Abstract In this paper, we prove the global existence and asymptotic behavior, as time tends to infinity, of solutions in __H__^__i__^ (__i__=1, 2) to the initial boundary value problem of the compressible Navier–Stokes equations of one‐dimensional motion of a viscous heat‐conducting gas in a bo