Boundary layers for transmission problems with singularities

We study two-dimensional transmission problems for the Laplace operator for two diffusion coefficients. We describe the boundary layers of this problem and show that the layers appear only in the part where the coefficient is large. The relationship with the singularities of the limit proble...

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Bibliographic Details
Main Authors:	Abderrahman Maghnouji, Serge Nicaise
Format:	Article
Language:	English
Published:	Texas State University 2006-01-01
Series:	Electronic Journal of Differential Equations
Subjects:	Transmission problems boundary layers singularities.
Online Access:	http://ejde.math.txstate.edu/Volumes/2006/14/abstr.html

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spelling	doaj-59a3c54cd47f4c879411f87fcc78dfe12020-11-24T21:22:57ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-01-01200614116Boundary layers for transmission problems with singularitiesAbderrahman MaghnoujiSerge NicaiseWe study two-dimensional transmission problems for the Laplace operator for two diffusion coefficients. We describe the boundary layers of this problem and show that the layers appear only in the part where the coefficient is large. The relationship with the singularities of the limit problem is also described. http://ejde.math.txstate.edu/Volumes/2006/14/abstr.htmlTransmission problemsboundary layerssingularities.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abderrahman Maghnouji Serge Nicaise
spellingShingle	Abderrahman Maghnouji Serge Nicaise Boundary layers for transmission problems with singularities Electronic Journal of Differential Equations Transmission problems boundary layers singularities.
author_facet	Abderrahman Maghnouji Serge Nicaise
author_sort	Abderrahman Maghnouji
title	Boundary layers for transmission problems with singularities
title_short	Boundary layers for transmission problems with singularities
title_full	Boundary layers for transmission problems with singularities
title_fullStr	Boundary layers for transmission problems with singularities
title_full_unstemmed	Boundary layers for transmission problems with singularities
title_sort	boundary layers for transmission problems with singularities
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2006-01-01
description	We study two-dimensional transmission problems for the Laplace operator for two diffusion coefficients. We describe the boundary layers of this problem and show that the layers appear only in the part where the coefficient is large. The relationship with the singularities of the limit problem is also described.
topic	Transmission problems boundary layers singularities.
url	http://ejde.math.txstate.edu/Volumes/2006/14/abstr.html
work_keys_str_mv	AT abderrahmanmaghnouji boundarylayersfortransmissionproblemswithsingularities AT sergenicaise boundarylayersfortransmissionproblemswithsingularities
_version_	1725994261577465856

Boundary layers for transmission problems with singularities

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