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Stochastic Pdes And Modelling Of Multiscale Complex System [Kõva köide]

Edited by (Shantou Univ, China), Edited by (Nanjing Univ Of Science And Technology, China), Edited by (Nanjing Univ, China)
Teised raamatud teemal:
Teised raamatud teemal:
This volume is devoted to original research results and survey articles reviewing recent developments in reduction for stochastic PDEs with multiscale as well as application to science and technology, and to present some future research direction. This volume includes a dozen chapters by leading experts in the area, with a broad audience in mind. It should be accessible to graduate students, junior researchers and other professionals who are interested in the subject. We also take this opportunity to celebrate the contributions of Professor Anthony J Roberts, an internationally leading figure on the occasion of his 60th years birthday in 2017.
Preface v
A Biographical Note and Tribute to Anthony Roberts on His 60th Birthday vii
1 Geometric Methods for Stochastic Dynamical Systems
1(8)
Jinqiao Duan
Hui Wang
2 Stochastic 3D Navier--Stokes Equations with Nonlinear Damping: Martingale Solution, Strong Solution and Small Time LDP
9(28)
Hongjun Gao
Hui Liu
3 Model Reduction in Stochastic Environments
37(26)
E. Forgoston
L. Billings
I. B. Schwartz
4 An Averaging Principle for Multi-valued Stochastic Differential Equations Driven by G-Brownian Motion
63(18)
Yong Xu
Min Han
Bin Pel
5 Optimal Control for the Nonlocal Backward Heat Equation
81(16)
Xiaoli Wang
Jinchun He
Haoyuan Xu
Meihua Yang
6 Holder Estimates for Solutions of Stochastic Nonlocal Diffusion Equations
97(14)
Guangying Lv
Hongjun Gao
Jinlong Wei
Jiang-Lun Wu
7 Multiscale Modelling Couples Patches of Two-Layer Thin Fluid Flow
111(28)
Meng Cao
A. J. Roberts
8 The Cauchy Problem for a Generalized Ostrovsky Equation with Positive Dispersion
139(10)
Wei Yan
9 Well-Posedness for Stochastic Two Component Dullin--Gottwald--Holm System with Levy Noise
149(18)
Yong Chen
Jingyun Luo
10 On Smooth Approximation of Levy Processes in Skorokhod Space
167(10)
Lingyu Feng
Xianming Liu
11 Error Estimation on Projective Integration of Expensive Multiscale Stochastic Simulation
177(18)
Xiaopeng Chen
A. J. Roberts
12 Approximation for Stochastic Wave Equations with Singular Perturbation
195
Yan Lv
Wei Wang