# Homogenization of a boundary condition for the heat equation

Journal of the European Mathematical Society (2000)

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

## Access Full Article

top## Abstract

top## How to cite

topFilo, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.