Integral representation of a solution to the Stokes-Darcy problem

Dagmar Medková; Mariya Ptashnyk; Werner  Varnhorn

doi:10.1002/mma.3330

Integral representation of a solution to the Stokes-Darcy problem

Dagmar Medková (Lead / Corresponding author), Mariya Ptashnyk, Werner Varnhorn

Mathematics

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Abstract

With methods of potential theory we develop a representation of a solution of the coupled Stokes-Darcy model in a Lipschitz domain for boundary data in H^-1/2.

Original language	English
Pages (from-to)	3968-3979
Number of pages	12
Journal	Mathematical Methods in the Applied Sciences
Volume	38
Issue number	17
Early online date	1 Dec 2014
DOIs	https://doi.org/10.1002/mma.3330
Publication status	Published - 30 Nov 2015

Keywords

Stokes-Darcy problem
boundary layer potential

ASJC Scopus subject areas

General Mathematics

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This is the peer reviewed version of the following article: Medková Dagmar, Ptashnyk Mariya, and Varnhorn Werner (2014), Integral representation of a solution to the Stokes–Darcy problem, Math. Meth. Appl. Sci., doi: 10.1002/mma.3330, which has been published in final form at http://dx.doi.org/10.1002/mma.3330. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
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http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476

Cite this

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N2 - With methods of potential theory we develop a representation of a solution of the coupled Stokes-Darcy model in a Lipschitz domain for boundary data in H-1/2.

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Integral representation of a solution to the Stokes-Darcy problem

Abstract

Keywords

ASJC Scopus subject areas

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