Homogenization of a boundary condition for the heat equation | Zendy

Ján Filo | Zendy; Stephan Luckhaus | Zendy

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Homogenization of a boundary condition for the heat equation

Author(s) -

Ján Filo,

Stephan Luckhaus

Publication year - 2000

Publication title -

journal of the european mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.549

H-Index - 64

eISSN - 1435-9863

pISSN - 1435-9855

DOI - 10.1007/s100970000022

Subject(s) - mathematics , homogenization (climate) , heat equation , mathematical analysis , boundary value problem , biodiversity , ecology , biology

The paper deals with homogenization of a boundary condition for the heatequation which is rapidly oscilating between Dirichlet and Neumann type.Since the area fraction of the set where Dirichlet conditions are prescribed isorder 1, in the first term of the expansion the Neumann condition is forgotten.In order to see the asymptotic effect of the Neumann boundary condition onthe solution one has to go to the second term of the expansion. In two dimensionsand in a special...

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