Amplitude Equations for Stochastic Partial Differential Equations pdf epub mobi txt 电子书 下载 2025
- 随机偏微分方程
- 动力系统
- 非线性波动
- 渐近分析
- 常微分方程
- 概率论
- 泛函分析
- 数值分析
- 数学物理
- 常微分方程
具体描述
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 firs 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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