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Stochastic PDEs and Dynamics

Authors: Boling Guo, Hongjun Gao, Xueke Pu Publisher: De Gruyter Publication date: 2016 Publication language: Angielski Number of pages: 228 Publication formats: EAN: 9783110493887 ISBN: 9783110493887 Category: Kolekcja specjalna: Rok matematyki 2019 Publisher's index: - Bibliographic note: -

Description

This book explains mathematical theories of a collection of stochastic partial differential equations and their dynamical behaviors. Based on probability and stochastic process, the authors discuss stochastic integrals, Ito formula and Ornstein-Uhlenbeck processes, and introduce theoretical framework for random attractors. With rigorous mathematical deduction, the book is an essential reference to mathematicians and physicists in nonlinear science.

Contents:
Preliminaries
The stochastic integral and Itô formula
OU processes and SDEs
Random attractors
Applications
Bibliography
Index