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 |
|