Stochastic manifolds for nonlinear SPDEs: 1 Approximation of stochastic invariant manifolds
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | SpringerBriefs in mathematics
SpringerBriefs in mathematics |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783319124957 9783319124964 |
| DOI: | 10.1007/978-3-319-12496-4 |
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Record in the Search Index
| _version_ | 1804152839097810944 |
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| adam_text | APPROXIMATION OF STOCHASTIC INVARIANT MANIFOLDS
/ CHEKROUN, MICKAEL D.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
APPROXIMATION OF STOCHASTIC INVARIANT MANIFOLDS
/ CHEKROUN, MICKAEL D.
: 2015
ABSTRACT / INHALTSTEXT
THIS FIRST VOLUME IS CONCERNED WITH THE ANALYTIC DERIVATION OF EXPLICIT
FORMULAS FOR THE LEADING-ORDER TAYLOR APPROXIMATIONS OF (LOCAL)
STOCHASTIC INVARIANT MANIFOLDS ASSOCIATED WITH A BROAD CLASS OF
NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. THESE
APPROXIMATIONS TAKE THE FORM OF LYAPUNOV-PERRON INTEGRALS, WHICH ARE
FURTHER CHARACTERIZED IN VOLUME II AS PULLBACK LIMITS ASSOCIATED WITH
SOME PARTIALLY COUPLED BACKWARD-FORWARD SYSTEMS. THIS PULLBACK
CHARACTERIZATION PROVIDES A USEFUL INTERPRETATION OF THE CORRESPONDING
APPROXIMATING MANIFOLDS AND LEADS TO A SIMPLE FRAMEWORK THAT UNIFIES
SOME OTHER APPROXIMATION APPROACHES IN THE LITERATURE. A SELF-CONTAINED
SURVEY IS ALSO INCLUDED ON THE EXISTENCE AND ATTRACTION OF ONE-PARAMETER
FAMILIES OF STOCHASTIC INVARIANT MANIFOLDS, FROM THE POINT OF VIEW OF
THE THEORY OF RANDOM DYNAMICAL SYSTEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| author | Chekroun, Mickaël D. 1975- Liu, Honghu Wang, Shouhong 1962- |
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| author_facet | Chekroun, Mickaël D. 1975- Liu, Honghu Wang, Shouhong 1962- |
| author_role | aut aut aut |
| author_sort | Chekroun, Mickaël D. 1975- |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-12496-4 |
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| spelling | Chekroun, Mickaël D. 1975- Verfasser (DE-588)1065186134 aut Stochastic manifolds for nonlinear SPDEs 1 Approximation of stochastic invariant manifolds Mickaël D. Chekroun ; Honghu Liu ; Shouhong Wang Cham [u.a.] Springer 2015 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in mathematics Liu, Honghu Verfasser (DE-588)1065186770 aut Wang, Shouhong 1962- Verfasser (DE-588)1065187831 aut (DE-604)BV042276788 1 https://doi.org/10.1007/978-3-319-12496-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027714264&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027714264&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Chekroun, Mickaël D. 1975- Liu, Honghu Wang, Shouhong 1962- Stochastic manifolds for nonlinear SPDEs |
| title | Stochastic manifolds for nonlinear SPDEs |
| title_auth | Stochastic manifolds for nonlinear SPDEs |
| title_exact_search | Stochastic manifolds for nonlinear SPDEs |
| title_full | Stochastic manifolds for nonlinear SPDEs 1 Approximation of stochastic invariant manifolds Mickaël D. Chekroun ; Honghu Liu ; Shouhong Wang |
| title_fullStr | Stochastic manifolds for nonlinear SPDEs 1 Approximation of stochastic invariant manifolds Mickaël D. Chekroun ; Honghu Liu ; Shouhong Wang |
| title_full_unstemmed | Stochastic manifolds for nonlinear SPDEs 1 Approximation of stochastic invariant manifolds Mickaël D. Chekroun ; Honghu Liu ; Shouhong Wang |
| title_short | Stochastic manifolds for nonlinear SPDEs |
| title_sort | stochastic manifolds for nonlinear spdes approximation of stochastic invariant manifolds |
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