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The Stokes resolvent equations in 2d exterior domains
Author(s) -
Varnhorn Werner
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410353
Subject(s) - resolvent , limiting , mathematics , mathematical analysis , boundary (topology) , boundary value problem , integral equation , construct (python library) , computer science , engineering , mechanical engineering , programming language
With methods of hydrodynamical potential theory we construct a solution of the Stokes resolvent equations in 2 d exterior domains with C 1,α ‐boundaries, 0 < α ≤ 1. The resulting system of boundary integral equations is uniquely solvable for small resolvent parameter λ and allows the limiting procedure λ → 0. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)