TY - BOOK ID - 78343973 TI - Stochastic PDEs and dynamics AU - Guo, Boling AU - Gao, Hongjun AU - Pu, Xueke PY - 2017 SN - 3110492431 9783110493887 3110493888 9783110492439 9783110495102 3110495104 3110493896 PB - Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, DB - UniCat KW - Stochastic partial differential equations. KW - Dynamics. KW - Dynamical systems KW - Kinetics KW - Mathematics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Physics KW - Statics KW - Banach spaces, Stochastic differential equations in KW - Hilbert spaces, Stochastic differential equations in KW - SPDE (Differential equations) KW - Stochastic differential equations in Banach spaces KW - Stochastic differential equations in Hilbert spaces KW - Differential equations, Partial KW - Itô's formula. KW - Ornstein-Uhlenbeck processes. KW - Stochastic PDEs. KW - dynamical behavior. KW - random attractors. KW - stochastic integrals. UR - https://www.unicat.be/uniCat?func=search&query=sysid:78343973 AB - 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:PreliminariesThe stochastic integral and Itô formulaOU processes and SDEsRandom attractorsApplicationsBibliographyIndex ER -