Smooth solutions of the Navier-Stokes equations
Journal Article
·
· Sbornik. Mathematics
- Steklov Mathematical Institute of the Russian Academy of Sciences (Russian Federation)
We consider smooth solutions of the Cauchy problem for the Navier-Stokes equations on the scale of smooth functions which are periodic with respect to x∈R{sup 3}. We obtain existence theorems for global (with respect to t>0) and local solutions of the Cauchy problem. The statements of these depend on the smoothness and the norm of the initial vector function. Upper bounds for the behaviour of solutions in both classes, which depend on t, are also obtained. Bibliography: 10 titles.
- OSTI ID:
- 22365743
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 2 Vol. 205; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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