02607nam 2200625 450 991082314520332120230810001428.03-11-049243-110.1515/9783110493887(CKB)3710000000966383(MiAaPQ)EBC4769003(DE-B1597)469569(OCoLC)979733211(DE-B1597)9783110493887(Au-PeEL)EBL4769003(CaPaEBR)ebr11316787(CaONFJC)MIL972867(OCoLC)965135054(EXLCZ)99371000000096638320161220h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierStochastic PDEs and dynamics /Boling Guo, Hongjun Gao, Xueke PuBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2017.©20171 online resource (220 pages)3-11-049510-4 3-11-049388-8 Includes bibliographical references and index.Frontmatter --Preface --Contents --1. Preliminaries --2. The stochastic integral and Itô formula --3. OU processes and SDEs --4. Random attractors --5. Applications --Bibliography --IndexThis 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 attractorsApplicationsBibliographyIndexStochastic partial differential equationsDynamicsItô's formula.Ornstein-Uhlenbeck processes.Stochastic PDEs.dynamical behavior.random attractors.stochastic integrals.Stochastic partial differential equations.Dynamics.519.2/2Guo Boling879545Gao Hongjun(Mathematics professor),Pu XuekeMiAaPQMiAaPQMiAaPQBOOK9910823145203321Stochastic PDEs and dynamics4055068UNINA