## Abstract A mixed boundary value problem for the Stokes system in a polyhedral domain is considered. Here different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescribed on the faces of the polyhedron. The authors prove the existence of solutions in (weig
OnH2-Estimates of Solutions to the Stokes System with an Artificial Boundary Condition
β Scribed by P. Deuring
- Book ID
- 105760867
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 476 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1422-6928
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π SIMILAR VOLUMES
## Abstract A mixed boundary value problem for the Stokes system in a polyhedral domain is considered. The authors prove the existence of solutions in weighted and nonβweighted HΓΆlder spaces and obtain regularity results for the solutions. The results are essentially based on estimates of the Green
The barotropic compressible NavierαStokes equations in an unbounded domain Ε½ . Ε½ . 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