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Mixed Boundary Value Problems for the Stationary Navier–Stokes System in Polyhedral Domains

✍ Scribed by V. Maz’ya; J. Rossmann

Publisher
Springer
Year
2008
Tongue
English
Weight
572 KB
Volume
194
Category
Article
ISSN
0003-9527

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## 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 non‐weighted Hölder spaces and obtain regularity results for the solutions. The results are essentially based on estimates of the Green

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## 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