Strong Solutions to the Navier-Stokes Equations Around a Rotating Obstacle
β Scribed by Giovanni P. Galdi; Ana L. Silvestre
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 203 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
We consider the motion of a fluid in the exterior of a rotating obstacle. This leads to a modified version of the Stokes system which we consider in the whole space R n , n = 2 or n = 3 and in an exterior domain D β R 3 . For every q β (1, β) we prove existence of solutions and estimates in function
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 NavierαStokes equations. The rate obtained is optimal in the sense that it coincides with that of solution to the heat equati