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Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I / / by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang
| Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I / / by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang |
| Autore | Chekroun Mickaël D |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (136 p.) |
| Disciplina |
510
515.352 515.353 515.39 |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory Differential equations, Partial Probabilities Differential equations Dynamical Systems and Ergodic Theory Partial Differential Equations Probability Theory and Stochastic Processes Ordinary Differential Equations |
| ISBN | 3-319-12496-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | General Introduction -- Stochastic Invariant Manifolds: Background and Main Contributions -- Preliminaries -- Stochastic Evolution Equations -- Random Dynamical Systems -- Cohomologous Cocycles and Random Evolution Equations -- Linearized Stochastic Flow and Related Estimates -- Existence and Attraction Properties of Global Stochastic Invariant Manifolds -- Existence and Smoothness of Global Stochastic Invariant Manifolds -- Asymptotic Completeness of Stochastic Invariant Manifolds -- Local Stochastic Invariant Manifolds: Preparation to Critical Manifolds -- Local Stochastic Critical Manifolds: Existence and Approximation Formulas -- Standing Hypotheses -- Existence of Local Stochastic Critical Manifolds -- Approximation of Local Stochastic Critical Manifolds -- Proofs of Theorem 6.1 and Corollary 6.1 -- Approximation of Stochastic Hyperbolic Invariant Manifolds -- A Classical and Mild Solutions of the Transformed RPDE -- B Proof of Theorem 4.1 -- References. |
| Record Nr. | UNINA-9910299760903321 |
Chekroun Mickaël D
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stochastic parameterizing manifolds and non-Markovian reduced equations : Stochastic manifolds for nonlinear SPDEs II / / by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang
| Stochastic parameterizing manifolds and non-Markovian reduced equations : Stochastic manifolds for nonlinear SPDEs II / / by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang |
| Autore | Chekroun Mickaël D |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (141 p.) |
| Disciplina | 519.22 |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Differential equations, Partial
Dynamics Ergodic theory Probabilities Differential equations Partial Differential Equations Dynamical Systems and Ergodic Theory Probability Theory and Stochastic Processes Ordinary Differential Equations |
| ISBN | 3-319-12520-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | General Introduction -- Preliminaries -- Invariant Manifolds -- Pullback Characterization of Approximating, and Parameterizing Manifolds -- Non-Markovian Stochastic Reduced Equations -- On-Markovian Stochastic Reduced Equations on the Fly -- Proof of Lemma 5.1.-References -- Index. |
| Record Nr. | UNINA-9910299781803321 |
|
Chekroun Mickaël D
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||