Premium
The Dirichlet problem for Stokes equation in a domain exterior to an open surface
Author(s) -
Kirvalidze V.
Publication year - 1997
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/(sici)1099-1476(199710)20:15<1257::aid-mma896>3.0.co;2-5
Subject(s) - mathematics , uniqueness , mathematical analysis , dirichlet problem , bessel function , dirichlet boundary condition , stokes problem , boundary value problem , surface (topology) , domain (mathematical analysis) , neighbourhood (mathematics) , dirichlet distribution , helmholtz equation , boundary (topology) , partial differential equation , geometry , finite element method , physics , thermodynamics
The paper deals with the Dirichlet problem for the Stokes linear equation in a domain exterior to an open surface. With the help of the theory of boundary integral (pseudo‐differential) equations uniqueness and existence theorems are proved in the Bessel‐potential and Besov spaces and C α ‐smoothness (with α<1/2) of solution is established in the neighbourhood of the boundary of the open surface. © 1997 B. G. Teubner Stuttgart–John Wiley & Sons Ltd.