## Abstract We consider the problem of the asymptotic behaviour in the __L__^2^‐norm of solutions of the Navier–Stokes equations. We consider perturbations to the rest state and to stationary motions. In both cases we study the initial‐boundary value problem in unbounded domains with non‐compact bo
Strong solutions for the nonhomogeneous Navier–Stokes equations in unbounded domains
✍ Scribed by P. Braz e Silva; M. A. Rojas-Medar; E. J. Villamizar-Roa
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 229 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1178
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✦ Synopsis
As (u•∇)u
Au +C * ∇u 3 +C * u 2 , with C * a positive constant that is independent of the 'size' of domain, one gets
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