Boundary layer for Chaffee-Infante type equation

Roger Temam; Xiaoming Wang

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 1, page 217-226
  • ISSN: 0044-8753

Abstract

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This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.

How to cite

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Temam, Roger, and Wang, Xiaoming. "Boundary layer for Chaffee-Infante type equation." Archivum Mathematicum 034.1 (1998): 217-226. <http://eudml.org/doc/248189>.

@article{Temam1998,
abstract = {This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.},
author = {Temam, Roger, Wang, Xiaoming},
journal = {Archivum Mathematicum},
keywords = {Boundary layers; correctors; nonlinear reaction diffusion equations; chaffee-infante equation; corrector; nonlinear diffusion equation},
language = {eng},
number = {1},
pages = {217-226},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Boundary layer for Chaffee-Infante type equation},
url = {http://eudml.org/doc/248189},
volume = {034},
year = {1998},
}

TY - JOUR
AU - Temam, Roger
AU - Wang, Xiaoming
TI - Boundary layer for Chaffee-Infante type equation
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 1
SP - 217
EP - 226
AB - This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.
LA - eng
KW - Boundary layers; correctors; nonlinear reaction diffusion equations; chaffee-infante equation; corrector; nonlinear diffusion equation
UR - http://eudml.org/doc/248189
ER -

References

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