Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 446-454
Citer cet article
A. M. Rekalo. Stabilization of solutions of nonlinear parabolic equations on thin two-layer domains. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 446-454. http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a12/
@article{JMAG_2002_9_3_a12,
author = {A. M. Rekalo},
title = {Stabilization of solutions of nonlinear parabolic equations on thin two-layer domains},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {446--454},
year = {2002},
volume = {9},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a12/}
}
TY - JOUR
AU - A. M. Rekalo
TI - Stabilization of solutions of nonlinear parabolic equations on thin two-layer domains
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2002
SP - 446
EP - 454
VL - 9
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a12/
LA - en
ID - JMAG_2002_9_3_a12
ER -
%0 Journal Article
%A A. M. Rekalo
%T Stabilization of solutions of nonlinear parabolic equations on thin two-layer domains
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2002
%P 446-454
%V 9
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a12/
%G en
%F JMAG_2002_9_3_a12
The paper is concerned with the large time behavior of solutions of the heat equation on a thin two-layer domain. Such systems may arise from modeling thermal emission (as a result of chemical reaction) and heat transfer between two thin films. It is shown that every solution converges as $t\to+\infty$ to a single equilibrium point.
