Optimal initial value conditions for the existence of local strong solutions of the Navier–Stokes equations
✍ Scribed by Reinhard Farwig; Hermann Sohr
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 207 KB
- Volume
- 345
- Category
- Article
- ISSN
- 0025-5831
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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
In this paper, we deduce the estimates on decay rates of higher order derivatives about time variable and space variables for the strong solution to the Cauchy problem of the Navier᎐Stokes equations. The rate obtained is optimal in the sense that it coincides with that of solution to the heat equati