On a new boundary-value problem for the Navier-Stokes system with discontinuity in the type of boundary conditions depending on time
β Scribed by V. N. Maslennikova; M. E. Bogovskii
- Publisher
- Springer Netherlands
- Year
- 1994
- Tongue
- English
- Weight
- 271 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0167-8019
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## Abstract In this paper we consider a resolvent problem of the Stokes operator with some boundary condition in the half space, which is obtained as a model problem arising in evolution free boundary problems for viscous, incompressible fluid flow. We show standard resolvent estimates in the __L~q
We consider a GALERKM scheme for the two-dimensional initial boundary-value problem (P) of the NAVIER-STOKES equations, derive a priori-estimates for the approximations in interpolation spaces between "standard spaces'' as occuring in the theory of weak solutions and obtain well-posedness of (P) wit