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.
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.
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.
| 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: | 23 Jan 2022 14:40 |
| Publisher: | American Institute of Mathematical Sciences |
| ISSN: | 1531-3492 |
| OA Status: | Closed |
| 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 |
Chipot, M