Stochastic Analysis and Partial Differential Equations: Emphasis Year 2004-2005 on Stochastic Analysis and Partial Differential Equations, Northwestern University, Evanston, Illinois

Stochastic Analysis and Partial Differential Equations: Emphasis Year 2004-2005 on Stochastic Analysis and Partial Differential Equations, Northwestern University, Evanston, Illinois
ISBN-10
0821840592
ISBN-13
9780821840597
Category
Mathematics
Pages
278
Language
English
Published
2007
Publisher
American Mathematical Soc.
Authors
Mark A. Pinsky, Gui-Qiang Chen, Elton P. Hsu

Description

This book is a collection of original research papers and expository articles from the scientific program of the 2004-05 Emphasis Year on Stochastic Analysis and Partial Differential Equations at Northwestern University. Many well-known mathematicians attended the events and submitted their contributions for this volume. Topics from stochastic analysis discussed in this volume include stochastic analysis of turbulence, Markov processes, microscopic lattice dynamics, microscopic interacting particle systems, and stochastic analysis on manifolds. Topics from partial differential equations include kinetic equations, hyperbolic conservation laws, Navier-Stokes equations, and Hamilton-Jacobi equations. A variety of methods, such as numerical analysis, homogenization, measure-theoretical analysis, entropy analysis, weak convergence analysis, Fourier analysis, and Ito's calculus, are further developed and applied. All these topics are naturally interrelated and represent a cross-section of the most significant recent advances and current trends and directions in stochastic analysis and partial differential equations. This volume is suitable for researchers and graduate students interested in stochastic analysis, partial differential equations, and related analysis and applications.

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