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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 3, Pages 446–454
(Mi jmag307)
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Stabilization of solutions of nonlinear parabolic equations on thin two-layer domains
A. M. Rekalo Department of Mechanics and Mathematics, V. N. Karazin National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
Abstract:
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.
Received: 27.12.2001
Citation:
A. M. Rekalo, “Stabilization of solutions of nonlinear parabolic equations on thin two-layer domains”, Mat. Fiz. Anal. Geom., 9:3 (2002), 446–454
Linking options:
https://www.mathnet.ru/eng/jmag307 https://www.mathnet.ru/eng/jmag/v9/i3/p446
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Abstract page: | 114 | Full-text PDF : | 40 |
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