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)
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The item Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I, Mickaël D. Chekroun, Honghu Liu, Shouhong Wang, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I, Mickaël D. Chekroun, Honghu Liu, Shouhong Wang, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (xv, 127 pages)
- 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
- Isbn
- 9783319124964
- 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
- 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
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Approximation-of-stochastic-invariant-manifolds-/r3LgIXTC26E/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Approximation-of-stochastic-invariant-manifolds-/r3LgIXTC26E/">Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I, Mickaël D. Chekroun, Honghu Liu, Shouhong Wang, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
