Homogenization of a boundary condition for the heat equation
Ján Filo
Comenius University, Bratislava, Slovak RepublicStephan Luckhaus
Universität Leipzig, Germany
Abstract
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.
Cite this article
Ján Filo, Stephan Luckhaus, Homogenization of a boundary condition for the heat equation. J. Eur. Math. Soc. 2 (2000), no. 3, pp. 217–258
DOI 10.1007/S100970000022