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On the asymptotic behaviour of the solution of parabolic problems in cylindrical domains of large size in some directions


Chipot, M; Rougirel, A (2001). On the asymptotic behaviour of the solution of parabolic problems in cylindrical domains of large size in some directions. Discrete and Continuous Dynamical Systems. Series B, 1(3):319-338.

Abstract

We study the asymptotic behaviour of solutions of linear and nonlinear parabolic problems in cylindrical domains becoming unbounded in one or several directions. In particular we show that if the data depend only on the cross section of the domains, the solution converges toward the solution of problems set on this cross section. In the applications this makes it possible for instance to reduce the computations to two dimensional cases.

Abstract

We study the asymptotic behaviour of solutions of linear and nonlinear parabolic problems in cylindrical domains becoming unbounded in one or several directions. In particular we show that if the data depend only on the cross section of the domains, the solution converges toward the solution of problems set on this cross section. In the applications this makes it possible for instance to reduce the computations to two dimensional cases.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:linear and nonlinear parabolic operators
Language:English
Date:2001
Deposited On:28 Jun 2010 14:33
Last Modified:05 Apr 2016 13:25
Publisher:American Institute of Mathematical Sciences
ISSN:1531-3492
Publisher DOI:https://doi.org/10.3934/dcdsb.2001.1.319
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1849821
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1011.35023

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