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Homogenization of a boundary condition for the heat equation

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Journal of the European Mathematical Society

Abstract.

An asymptotic analysis is given for the heat equation with mixed boundary conditions rapidly oscillating between Dirichlet and Neumann type. We try to present a general framework where deterministic homogenization methods can be applied to calculate the second term in the asymptotic expansion with respect to the small parameter characterizing the oscillations.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia, , , , , , SV

    Ján Filo

  2. Institut für Mathematik der Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany, , , , , , DE

    Stephan Luckhaus

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  1. Ján Filo
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  2. Stephan Luckhaus
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Additional information

Received August 20, 1999 / final version received March 1, 2000¶Published online June 21, 2000

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Filo, J., Luckhaus, S. Homogenization of a boundary condition for the heat equation. J. Eur. Math. Soc. 2, 217–258 (2000). https://doi.org/10.1007/s100970000022

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  • DOI: https://doi.org/10.1007/s100970000022

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