Dynamic boundary conditions as limit of singularly perturbed parabolic problems

Ángela Jiménez-Casas; Aníbal Rodríguez-Bernal

doi:10.3934/proc.2011.2011.737

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2011, Volume 2011: 737-746. Doi: 10.3934/proc.2011.2011.737 open access

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Dynamic boundary conditions as limit of singularly perturbed parabolic problems

Ángela Jiménez-Casas^1, and
Aníbal Rodríguez-Bernal^2,

1.
Grupo de Dinámica No Lineal. Universidad Pontificia Comillas de Madrid, C/Alberto Agulilera 23, 28015 Madrid
2.
Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid 28040

Received: June 30, 2010

Revised: February 28, 2011

Published: August 2017

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Abstract

We obtain dynamic boundary conditions as a limit of parabolic problems with null flux where the time derivative concentrates near the boundary.

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Mathematics Subject Classification: Primary: 35K20; Secondary:35B25.

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