Homogenization of a boundary condition for the heat equation

Ján Filo; Stephan Luckhaus

Journal of the European Mathematical Society (2000)

  • Volume: 002, Issue: 3, page 217-258
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Filo, Ján, and Luckhaus, Stephan. "Homogenization of a boundary condition for the heat equation." Journal of the European Mathematical Society 002.3 (2000): 217-258. <http://eudml.org/doc/277620>.

@article{Filo2000,
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.},
author = {Filo, Ján, Luckhaus, Stephan},
journal = {Journal of the European Mathematical Society},
keywords = {heat equation; mixed boundary conditions; deterministic homogenization methods; small parameter; boundary homogenization; mixed boundary conditions rapidly oscillating between Dirichlet and Neumann types},
language = {eng},
number = {3},
pages = {217-258},
publisher = {European Mathematical Society Publishing House},
title = {Homogenization of a boundary condition for the heat equation},
url = {http://eudml.org/doc/277620},
volume = {002},
year = {2000},
}

TY - JOUR
AU - Filo, Ján
AU - Luckhaus, Stephan
TI - Homogenization of a boundary condition for the heat equation
JO - Journal of the European Mathematical Society
PY - 2000
PB - European Mathematical Society Publishing House
VL - 002
IS - 3
SP - 217
EP - 258
AB - 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.
LA - eng
KW - heat equation; mixed boundary conditions; deterministic homogenization methods; small parameter; boundary homogenization; mixed boundary conditions rapidly oscillating between Dirichlet and Neumann types
UR - http://eudml.org/doc/277620
ER -

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