JournalsjemsVol. 2 , No. 3DOI 10.1007/s100970000022

Homogenization of a boundary condition for the heat equation

  • Ján Filo

    Comenius University, Bratislava, Slovak Republic
  • Stephan Luckhaus

    Universität Leipzig, Germany
Homogenization of a boundary condition for the heat equation cover

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.