Effective Dynamics of Stochastic Partial Differential Equations

Duan, Jinqiao/ Wang, Wei

Elsevier Science Ltd（2018/10発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 282 p.
• 言語 ENG
• 商品コード 9780128102510
• DDC分類 515

Full Description

Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial differential equations. The authors' experience both as researchers and teachers enable them to convert current research on extracting effective dynamics of stochastic partial differential equations into concise and comprehensive chapters. The book helps readers by providing an accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations. Each chapter also includes exercises and problems to enhance comprehension.

Contents

1. Introduction2. Deterministic Partial Differential Equations3. Stochastic Tools in Hilbert Space4. Stochastic Partial Differential Equations 5. Stochastic Averaging Principles6. Slow Manifold Reduction7. Stochastic Homogenization