A Uniqueness Theorem for the Unbounded Classical Solution of the Nonstationary Navier-Stokes Equations in R3
✍ Scribed by H. Okamoto
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 346 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
## 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
The barotropic compressible Navier᎐Stokes equations in an unbounded domain Ž . Ž . are studied. We prove the unique existence of the solution u, p of the system 1.1 in the Sobolev space H kq 3 = H kq 2 provided that the derivatives of the data of the problem are sufficiently small, where k G 0 is an
The application of standard multigrid methods for the solution of the Navier±Stokes equations in complicated domains causes problems in two ways. First, coarsening is not possible to full extent since the geometry must be resolved by the coarsest grid used. Second, for semi-implicit time-stepping sc