On the stochastic Kuramoto–Sivashinsky equation
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| Published in | Nonlinear analysis Vol. 44; no. 2; pp. 205 - 216 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
01.04.2001
Elsevier |
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| Online Access | Get full text |
| ISSN | 0362-546X 1873-5215 |
| DOI | 10.1016/S0362-546X(99)00259-X |
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| Author | Duan, Jinqiao Ervin, Vincent J. |
|---|---|
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| Cites_doi | 10.1007/BF01048261 10.1006/jdeq.1997.3371 10.1002/cpa.3160470304 10.1007/978-1-4612-5561-1 10.1007/978-1-4684-0313-8 10.1017/CBO9780511666223 10.1103/PhysRevLett.75.4464 10.1006/jmaa.1998.6128 10.1103/PhysRevE.54.3577 10.1016/0375-9601(94)90775-7 10.1007/978-1-4612-0981-2 10.1007/BF02097064 10.1007/BF02429875 10.1016/0167-2789(90)90046-R 10.57262/die/1370267723 10.1017/CBO9780511662829 10.1080/03605308908820597 |
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| Keywords | Random forcing Kuramoto–Sivashinsky Random noise Existence condition Dynamical systems Uniqueness theorem Bounded solution Non linear operator Dirichlet domain Fixed point theorem Solutions Differential equations Infinite dimension Kuramoto Sivashinsky equation Wiener processes Stochastic equation |
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Pures Appl. – ident: 10.1016/S0362-546X(99)00259-X_BIB8 – volume: 44 start-page: 38 year: 1990 ident: 10.1016/S0362-546X(99)00259-X_BIB13 article-title: Approximate inertial manifolds for the Kuramoto–Sivashinsky equation: analysis and computations publication-title: Physica D doi: 10.1016/0167-2789(90)90046-R – volume: 7 start-page: 1095 year: 1994 ident: 10.1016/S0362-546X(99)00259-X_BIB19 article-title: Estimates on the lowest dimension of inertial manifolds for the Kuramoto–Sivashinsky equation in the general case publication-title: Differential Integral Equations doi: 10.57262/die/1370267723 – ident: 10.1016/S0362-546X(99)00259-X_BIB1 – ident: 10.1016/S0362-546X(99)00259-X_BIB6 doi: 10.1017/CBO9780511662829 – volume: 14 start-page: 245 year: 1989 ident: 10.1016/S0362-546X(99)00259-X_BIB15 article-title: Some global dynamical properties of a class of pattern formation equations publication-title: Comm. PDEs doi: 10.1080/03605308908820597 |
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| SubjectTerms | Exact sciences and technology Function theory, analysis Kuramoto–Sivashinsky Mathematical methods in physics Numerical approximation and analysis Ordinary and partial differential equations, boundary value problems Partial differential equations Physics Probability theory, stochastic processes, and statistics Random forcing Stochastic processes |
| Title | On the stochastic Kuramoto–Sivashinsky equation |
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