| Title:
|
Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line (English) |
| Author:
|
Laurençot, Ph. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
85-94 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the long-time behaviour of solutions to the Korteweg-de Vries equation with a zero order dissipation and an additional forcing term, when the space variable varies over $R$, and prove that it is described by a maximal compact attractor in $H^2(R)$. (English) |
| Keyword:
|
Korteweg-de Vries equation |
| Keyword:
|
attractor |
| Keyword:
|
unbounded domain. |
| MSC:
|
35B40 |
| MSC:
|
35Q53 |
| MSC:
|
47H20 |
| MSC:
|
58F39 |
| idZBL:
|
Zbl 0928.35145 |
| idMR:
|
MR1614084 |
| . |
| Date available:
|
2009-09-24T10:11:22Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127401 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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[MGK] R.M. Miura, C.S. Gardner, M.D. Kruskal: Korteweg-de Vries equation and generalizations. II. Existence of conservation laws and constants of motion.J. Math. Phys. 9 (1968), 1204–1209. MR 0252826, 10.1063/1.1664701 |
| Reference:
|
[Te] R. Temam: Infinite-dimensional dynamical systems in mechanics and physics.Appl. Math. Sc. 68, Springer-Verlag, New York, 1988. Zbl 0662.35001, MR 0953967, 10.1007/978-1-4684-0313-8 |
| . |
