LEADER 02607nam 2200625 450 001 9910823145203321 005 20230810001428.0 010 $a3-11-049243-1 024 7 $a10.1515/9783110493887 035 $a(CKB)3710000000966383 035 $a(MiAaPQ)EBC4769003 035 $a(DE-B1597)469569 035 $a(OCoLC)979733211 035 $a(DE-B1597)9783110493887 035 $a(Au-PeEL)EBL4769003 035 $a(CaPaEBR)ebr11316787 035 $a(CaONFJC)MIL972867 035 $a(OCoLC)965135054 035 $a(EXLCZ)993710000000966383 100 $a20161220h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aStochastic PDEs and dynamics /$fBoling Guo, Hongjun Gao, Xueke Pu 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2017. 210 4$d©2017 215 $a1 online resource (220 pages) 311 $a3-11-049510-4 311 $a3-11-049388-8 320 $aIncludes bibliographical references and index. 327 $tFrontmatter --$tPreface --$tContents --$t1. Preliminaries --$t2. The stochastic integral and Itô formula --$t3. OU processes and SDEs --$t4. Random attractors --$t5. Applications --$tBibliography --$tIndex 330 $aThis 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 606 $aStochastic partial differential equations 606 $aDynamics 610 $aItô's formula. 610 $aOrnstein-Uhlenbeck processes. 610 $aStochastic PDEs. 610 $adynamical behavior. 610 $arandom attractors. 610 $astochastic integrals. 615 0$aStochastic partial differential equations. 615 0$aDynamics. 676 $a519.2/2 700 $aGuo$b Boling$0879545 702 $aGao$b Hongjun$c(Mathematics professor), 702 $aPu$b Xueke 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910823145203321 996 $aStochastic PDEs and dynamics$94055068 997 $aUNINA