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^*, Mariya Ptashnyk, Werner Varnhorn

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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
DOIs	https://doi.org/10.1002/mma.3330
Publication status	Published - 30 Nov 2015

Keywords

boundary layer potential
Stokes-Darcy problem

ASJC Scopus subject areas

General Mathematics

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10.1002/mma.3330

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@article{03369bc94818419192b341f39570a802,

title = "Integral representation of a solution to the Stokes-Darcy problem",

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.",

keywords = "boundary layer potential, Stokes-Darcy problem",

author = "Dagmar Medkov{\'a} and Mariya Ptashnyk and Werner Varnhorn",

note = "Publisher Copyright: Copyright {\textcopyright} 2014 John Wiley & Sons, Ltd.",

year = "2015",

month = nov,

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doi = "10.1002/mma.3330",

language = "English",

volume = "38",

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journal = "Mathematical Methods in the Applied Sciences",

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T1 - Integral representation of a solution to the Stokes-Darcy problem

AU - Medková, Dagmar

AU - Ptashnyk, Mariya

AU - Varnhorn, Werner

PY - 2015/11/30

Y1 - 2015/11/30

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.

AB - 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.

KW - boundary layer potential

KW - Stokes-Darcy problem

UR - http://www.scopus.com/inward/record.url?scp=84959320011&partnerID=8YFLogxK

U2 - 10.1002/mma.3330

DO - 10.1002/mma.3330

M3 - Article

AN - SCOPUS:84959320011

SN - 0170-4214

VL - 38

SP - 3968

EP - 3979

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 17

ER -

Integral representation of a solution to the Stokes-Darcy problem

Abstract

Keywords

ASJC Scopus subject areas

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