ISBN-10:
1441920714
ISBN-13:
9781441920713
Pub. Date:
12/12/2011
Publisher:
Springer New York
Probability and Partial Differential Equations in Modern Applied Mathematics / Edition 1

Probability and Partial Differential Equations in Modern Applied Mathematics / Edition 1

by Edward C. Waymire
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Product Details

ISBN-13: 9781441920713
Publisher: Springer New York
Publication date: 12/12/2011
Series: The IMA Volumes in Mathematics and its Applications , #140
Edition description: 2005
Pages: 272
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

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.

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