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Edward C. Waymire 
Probability and Partial Differential Equations in Modern Applied Mathematics 

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Table of Content

Nonnegative Markov Chains with Applications.- Phase Changes with Time and Multi-Scale Homogenizations of a Class of Anomalous Diffusions.- Semi-Markov Cascade Representations of Local Solutions to 3-D Incompressible Navier-Stokes.- Amplitude Equations for Spdes: Approximate Centre Manifolds and Invariant Measures.- Enstrophy and Ergodicity Of Gravity Currents.- Stochastic Heat and Burgers Equations and Their Singularities.- A Gentle Introduction to Cluster Expansions.- Continuity of the Itô-Map for Holder Rough Paths with Applications to the Support Theorem in Holder Norm.- Data-Driven Stochastic Processes in Fully Developed Turbulence.- Stochastic Flows on the Circle.- Path Integration: Connecting Pure Jump and Wiener Processes.- Random Dynamical Systems in Economics.- A Geometric Cascade for the Spectral Approximation of the Navier-Stokes Equations.- Inertial Manifolds for Random Differential Equations.- Existence and Uniqueness of Classical, Nonnegative, Smooth Solutions of a Class of Semi-Linear Spdes.- Nonlinear Pde’s Driven by Lévy Diffusions and Related Statistical Issues.
Language English ● Format PDF ● Pages 272 ● ISBN 9780387293714 ● File size 23.2 MB ● Editor Edward C. Waymire ● Publisher Springer New York ● City NY ● Country US ● Published 2010 ● Downloadable 24 months ● Currency EUR ● ID 4709199 ● Copy protection Social DRM

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