Premium
The exterior Dirichlet and the interior Neumann boundary value problems for the scalar Oseen equation
Author(s) -
Skopin Emma
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210281
Subject(s) - laplace's equation , boundary value problem , mathematical analysis , neumann boundary condition , mathematics , scalar (mathematics) , dirichlet distribution , mixed boundary condition , dirichlet boundary condition , isotropy , robin boundary condition , physics , geometry , quantum mechanics
The scalar Oseen equation represents a linearized form of the Navier Stokes equations. We present an explicit potential theory for this equation and solve the exterior Dirichlet and interior Neumann boundary value problems via a boundary integral equations method in spaces of continuous functions on a C 2 ‐boundary, extending the classical approach for the isotropic selfadjoint Laplace operator to the anisotropic non‐selfadjoint scalar Oseen operator. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)