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The Resource Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I, Mickaël D. Chekroun, Honghu Liu, Shouhong Wang, (electronic book)

Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I, Mickaël D. Chekroun, Honghu Liu, Shouhong Wang, (electronic book)

Label
Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I
Title
Approximation of stochastic invariant manifolds
Title remainder
stochastic manifolds for nonlinear SPDEs I
Statement of responsibility
Mickaël D. Chekroun, Honghu Liu, Shouhong Wang
Creator
Contributor
Author
Subject
Language
eng
Summary
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 unifie
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Chekroun, Mickaël D
Dewey number
515/.353
Illustrations
illustrations
Index
index present
LC call number
QA274.25
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Liu, Honghu
  • Wang, Shouhong
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
Stochastic partial differential equations
Label
Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I, Mickaël D. Chekroun, Honghu Liu, Shouhong Wang, (electronic book)
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface; Acknowledgments; Contents; Acronyms; 1 General Introduction; 2 Stochastic Invariant Manifolds: Background and Main Contributions; 3 Preliminaries; 3.1 Stochastic Evolution Equations; 3.2 Random Dynamical Systems; 3.3 Cohomologous Cocycles and Random Evolution Equations; 3.4 Linearized Stochastic Flow and Related Estimates; 4 Existence and Attraction Properties of Global Stochastic Invariant Manifolds; 4.1 Existence and Smoothness of Global Stochastic Invariant Manifolds; 4.2 Asymptotic Completeness of Stochastic Invariant Manifolds
  • 5 Local Stochastic Invariant Manifolds: Preparation to Critical Manifolds6 Local Stochastic Critical Manifolds: Existence and Approximation Formulas; 6.1 Standing Hypotheses; 6.2 Existence of Local Stochastic Critical Manifolds; 6.3 Approximation of Local Stochastic Critical Manifolds; 6.4 Proofs of Theorem 6.1 and Corollary 6.1; 7 Approximation of Stochastic Hyperbolic Invariant Manifolds; Appendix AClassical and Mild Solutionsof the Transformed RPDE; Appendix BProof of Theorem 4.1; References; Index
Control code
SPR898892853
Dimensions
unknown
Extent
1 online resource (xv, 127 pages)
File format
unknown
Form of item
online
Isbn
9783319124964
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
color illustration.
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote
Label
Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I, Mickaël D. Chekroun, Honghu Liu, Shouhong Wang, (electronic book)
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface; Acknowledgments; Contents; Acronyms; 1 General Introduction; 2 Stochastic Invariant Manifolds: Background and Main Contributions; 3 Preliminaries; 3.1 Stochastic Evolution Equations; 3.2 Random Dynamical Systems; 3.3 Cohomologous Cocycles and Random Evolution Equations; 3.4 Linearized Stochastic Flow and Related Estimates; 4 Existence and Attraction Properties of Global Stochastic Invariant Manifolds; 4.1 Existence and Smoothness of Global Stochastic Invariant Manifolds; 4.2 Asymptotic Completeness of Stochastic Invariant Manifolds
  • 5 Local Stochastic Invariant Manifolds: Preparation to Critical Manifolds6 Local Stochastic Critical Manifolds: Existence and Approximation Formulas; 6.1 Standing Hypotheses; 6.2 Existence of Local Stochastic Critical Manifolds; 6.3 Approximation of Local Stochastic Critical Manifolds; 6.4 Proofs of Theorem 6.1 and Corollary 6.1; 7 Approximation of Stochastic Hyperbolic Invariant Manifolds; Appendix AClassical and Mild Solutionsof the Transformed RPDE; Appendix BProof of Theorem 4.1; References; Index
Control code
SPR898892853
Dimensions
unknown
Extent
1 online resource (xv, 127 pages)
File format
unknown
Form of item
online
Isbn
9783319124964
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
color illustration.
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

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