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Book Cover
E-book
Author Blömker, Dirk.

Title Amplitude Equations For Stochastic Partial Differential Equations
Published Singapore : World Scientific, 2007

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Description 1 online resource (137 pages)
Series Interdisciplinary Mathematical Sciences, v. 3
Interdisciplinary Mathematical Sciences, v. 3
Contents Preface; Contents; 1. Introduction; 2. Amplitude Equations on Bounded Domains; 3. Applications -- Some Examples; 4. Amplitude Equations on Large Domains; Appendix A Basic Inequalities; Appendix B Bounds for SDEs; Bibliography; Index
Summary Rigorous error estimates for amplitude equations are well known for deterministic PDEs, and there is a large body of literature over the past two decades. However, there seems to be a lack of literature for stochastic equations, although the theory is being successfully used in the applied community, such as for convective instabilities, without reliable error estimates at hand. This book is the first step in closing this gap. The author provides details about the reduction of dynamics to more simpler equations via amplitude or modulation equations, which relies on the natural separation of ti
Bibliography Includes bibliographical references (pages 117-124) and index
Notes Print version record
Subject Differential equations, Partial.
Stochastic differential equations.
Stochastic partial differential equations.
Differential equations, Partial
Stochastic differential equations
Stochastic partial differential equations
Form Electronic book
ISBN 9789812770608
9812770607
9789812706379
9812706372