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Amplitude Equations For Stochastic Partial Differential Equations.

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Blömker, Dirk
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific, 2007.
Colección:Interdisciplinary Mathematical Sciences, v. 3.
Temas:
Acceso en línea:Texto completo

MARC

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490 1 |a Interdisciplinary Mathematical Sciences, v. 3 
520 |a 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. 
505 0 |a 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. 
588 0 |a Print version record. 
504 |a Includes bibliographical references (pages 117-124) and index. 
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650 0 |a Differential equations, Partial. 
650 0 |a Stochastic differential equations. 
650 0 |a Stochastic partial differential equations. 
650 6 |a Équations aux dérivées partielles. 
650 6 |a Équations différentielles stochastiques. 
650 6 |a Équations aux dérivées partielles stochastiques. 
650 7 |a Differential equations, Partial  |2 fast 
650 7 |a Stochastic differential equations  |2 fast 
650 7 |a Stochastic partial differential equations  |2 fast 
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