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TAMED 3D NAVIER–STOKES EQUATION:: EXISTENCE, UNIQUENESS AND REGULARITY.
- Source :
-
Infinite Dimensional Analysis, Quantum Probability & Related Topics . Dec2009, Vol. 12 Issue 4, p525-549. 25p. 1 Diagram. - Publication Year :
- 2009
-
Abstract
- In this paper, we prove the existence and uniqueness of a smooth solution to a tamed 3D Navier–Stokes equation in the whole space. In particular, if there exists a bounded smooth solution to the classical 3D Navier–Stokes equation, then this solution satisfies our tamed equation. Moreover, using this tamed equation we can give a new construction for a suitable weak solution of the classical 3D Navier–Stokes equation introduced in Refs. 16 and 2. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02190257
- Volume :
- 12
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Infinite Dimensional Analysis, Quantum Probability & Related Topics
- Publication Type :
- Academic Journal
- Accession number :
- 47547926
- Full Text :
- https://doi.org/10.1142/S0219025709003859