Probability and Partial Differential Equations in Modern Applied Mathematics
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Overview
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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Details
- ISBN-13: 9781441920713
- ISBN-10: 1441920714
- Publisher: Springer
- Publish Date: December 2011
- Dimensions: 9.21 x 6.14 x 0.6 inches
- Shipping Weight: 0.88 pounds
- Page Count: 272
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