Amplitude Equations For Stochastic Partial Differential Equations
by
Dirk Blomker
Book Details
Format
Hardback or Cased Book
Book Series
Interdisciplinary Mathematical Sciences
ISBN-10
9812706372
ISBN-13
9789812706379
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
SG
Country of Publication
GB
Publication Date
Apr 25th, 2007
Print length
136 Pages
Weight
436 grams
Dimensions
25.10 x 16.60 x 1.50 cms
Product Classification:
Stochastics
Ksh 12,950.00
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Quality
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Provides details about the reduction of dynamics to more simpler equations via amplitude or modulation equations, which relies on the natural separation of time-scales present near a change of stability. This book offers an introduction to the subject highlighting the new tools necessary for stochastic 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, 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 time-scales present near a change of stability.For students, the book provides a lucid introduction to the subject highlighting the new tools necessary for stochastic equations, while serving as an excellent guide to recent research.
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