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Exterior stokes problems and decay at infinity
Author(s) -
SpecoviusNeugebauer Maria,
Wendland W.
Publication year - 1986
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670080124
Subject(s) - infinity , mathematics , sobolev space , dirichlet distribution , mathematical analysis , stokes problem , dirichlet integral , dirichlet problem , dirichlet's principle , physics , boundary value problem , finite element method , thermodynamics
We study the exterior Dirichlet and Neumann problem for the 3‐dimensional Stokes equations. By the use of the theory of hydrodynamical potentials, the decay at infinity can be completely characterized in the framework of weighted Sobolev spaces. The results are applied to the theory of weak solutions and to the Whitehead paradox.