Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@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/}
}
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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/