## 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
✦ LIBER ✦
On asymptotic behavior of solution for the Navier-Stokes equations in a time dependent domain
✍ Scribed by Yoshiaki Teramoto
- Publisher
- Springer-Verlag
- Year
- 1984
- Tongue
- French
- Weight
- 500 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0025-5874
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## Abstract We prove a general compactness result for the solution set of the compressible Navier–Stokes equations with respect to the variation of the underlying spatial domain. Among various corollaries, we then prove a general existence theorem for the system in question with no restrictions on