Effective Dynamics of Stochastic Partial Differential Equations

Jinqiao Duan, Wei Wang (Autoren)

Buch | Softcover

282 Seiten

2017
Elsevier Science Publishing Co Inc (Verlag)
978-0-12-810251-0 (ISBN)

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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.

Illinois Institute of Technology, Chicago IL

1. Introduction
2. Deterministic Partial Differential Equations
3. Stochastic Tools in Hilbert Space
4. Stochastic Partial Differential Equations
5. Stochastic Averaging Principles
6. Slow Manifold Reduction
7. Stochastic Homogenization

Erscheinungsdatum	13.07.2016
Sprache	englisch
Maße	152 x 229 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	0-12-810251-9 / 0128102519
ISBN-13	978-0-12-810251-0 / 9780128102510
Zustand	Neuware