Central Library, Indian Institute of Technology Delhi
केंद्रीय पुस्तकालय, भारतीय प्रौद्योगिकी संस्थान दिल्ली

Stochastic PDEs and modelling of multiscale complex system [electronic resource] / edited by Xiaopeng Chen, Yan Lv and Wei Wang.

Contributor(s): Cheng, Xiaopeng (Mathematician) | Lv, Yan (Mathematician) | Wang, Wei (Mathematician)Material type: Computer fileComputer fileSeries: Interdisciplinary mathematical sciences ; v. 20Publication details: Singapore :: World Scientific Publishing Co. Pte Ltd.,, ©2019Description: 1 online resource (240 p.) : illISBN: 9789811200359Subject(s): Stochastic partial differential equations | Differential equations, Partial | Multiscale modelingGenre/Form: Electronic books.DDC classification: 519.2/2 LOC classification: QA274.23 | .S8645 2019Online resources: Access to full text is restricted to subscribers.
Contents:
Geometric methods for stochastic dynamical systems / Jinqiao Duan and Hui Wang -- Stochastics 3D Navier-Stokes equations with nonlinear damping : Martingale Solution, Strong Solution and Small Time LDP / Hongjun Gao and Hui Liu -- Model reduction in stochastic environments / E. Forgoston, L. Billings and I. B. Schwartz -- An averaging principle for multi-valued stochastic differential equations driven by G-Brownian motion / Yong Xu, Min Han and Bin Pei -- Optimal control for the nonlocal backward heat equation / Xiaoli Wang ... [et al.] -- Holder estimates for solutions of stochastic nonlocal diffusion equations / Guangying Lv ... [et al.] -- Multiscale modelling couples patches of two-layer thin fluid flow / Meng Cao and A.J. Roberts -- The cauchy problem for a generalized Ostrovsky equation with positive dispersion / Wei Yan -- Well-posedness for stochastic two component Dullin-Gottwald-Holm system with Levy noise / Yong Chen and Jingyun Luo -- On smooth approximation of Levy processes in Skorokhod space / Lingyu Feng and Xianming Liu -- Error estimation on projective integration of expensive multiscale stochastic simulation / Xiaopeng Chen and A.J. Roberts -- Approximation for stochastic wave equations with singular perturbation / Yan Lv and Wei Wang.
Summary: "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."-- Publisher's website.
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Title from web page (viewed May 15, 2019).

Includes bibliographical references.

Geometric methods for stochastic dynamical systems / Jinqiao Duan and Hui Wang -- Stochastics 3D Navier-Stokes equations with nonlinear damping : Martingale Solution, Strong Solution and Small Time LDP / Hongjun Gao and Hui Liu -- Model reduction in stochastic environments / E. Forgoston, L. Billings and I. B. Schwartz -- An averaging principle for multi-valued stochastic differential equations driven by G-Brownian motion / Yong Xu, Min Han and Bin Pei -- Optimal control for the nonlocal backward heat equation / Xiaoli Wang ... [et al.] -- Holder estimates for solutions of stochastic nonlocal diffusion equations / Guangying Lv ... [et al.] -- Multiscale modelling couples patches of two-layer thin fluid flow / Meng Cao and A.J. Roberts -- The cauchy problem for a generalized Ostrovsky equation with positive dispersion / Wei Yan -- Well-posedness for stochastic two component Dullin-Gottwald-Holm system with Levy noise / Yong Chen and Jingyun Luo -- On smooth approximation of Levy processes in Skorokhod space / Lingyu Feng and Xianming Liu -- Error estimation on projective integration of expensive multiscale stochastic simulation / Xiaopeng Chen and A.J. Roberts -- Approximation for stochastic wave equations with singular perturbation / Yan Lv and Wei Wang.

"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."-- Publisher's website.

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