Stochastic PDEs and Dynamics

Inbunden, Engelska, 2016

2 229 kr

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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

Produktinformation

Utgivningsdatum2016-11-21
Mått170 x 240 x 18 mm
Vikt561 g
FormatInbunden
SpråkEngelska
Antal sidor228
Upplaga16001
FörlagDe Gruyter
ISBN9783110495102

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Table of Content:Chapter 1 Preliminaries1.1 Preliminaries in probability1.2 Preliminaries of stochastic process1.3 Martingale1.4 Wiener process and Brown motion1.5 Poisson process1.6 Levy process1.7 The fractional Brownian motionChapter 2 The stochastic integral and Ito formula2.1 Stochastic integral2.2 Ito formula2.3 The infnite dimensional case2.4 Nuclear operator and Hilbert-Schmidt operatorChapter 3 OU processes and SDEs3.1 Ornstein-Uhlenbeck processes3.2 Linear SDEs3.3 Nonlinear SDEsChapter 4 Random attractors4.1 Determinate nonautonomous systems4.2 Stochastic dynamical systemsChapter 5 Applications5.1 Stochastic Ginzburg-Landau equation5.2 Ergodicity for SGL with degenerate noise5.3 Stochastic damped forced Ostrovsky equation5.4 Simplifed quasi geostrophic model5.5 Stochastic primitive equationsReferences