Probability and Partial Differential Equations in Modern Applied Mathematics

Editors:

ISBN: 978-0-387-25879-9 (Print) 978-0-387-29371-4 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-x

  2. No Access

    Book Chapter

    Pages 1-9

    Nonnegative Markov Chains with Applications

  3. No Access

    Book Chapter

    Pages 11-26

    Phase Changes with Time and Multi-Scale Homogenizations of a Class of Anomalous Diffusions

  4. No Access

    Book Chapter

    Pages 27-40

    Semi-Markov Cascade Representations of Local Solutions to 3-D Incompressible Navier-Stokes

  5. No Access

    Book Chapter

    Pages 41-59

    Amplitude Equations for Spdes: Approximate Centre Manifolds and Invariant Measures

  6. No Access

    Book Chapter

    Pages 61-77

    Enstrophy and Ergodicity Of Gravity Currents

  7. No Access

    Book Chapter

    Pages 79-95

    Stochastic Heat and Burgers Equations and Their Singularities

  8. No Access

    Book Chapter

    Pages 97-115

    A Gentle Introduction to Cluster Expansions

  9. No Access

    Book Chapter

    Pages 117-135

    Continuity of the Itô-Map for Holder Rough Paths with Applications to the Support Theorem in Holder Norm

  10. No Access

    Book Chapter

    Pages 137-150

    Data-Driven Stochastic Processes in Fully Developed Turbulence

  11. No Access

    Book Chapter

    Pages 151-162

    Stochastic Flows on the Circle

  12. No Access

    Book Chapter

    Pages 163-180

    Path Integration: Connecting Pure Jump and Wiener Processes

  13. No Access

    Book Chapter

    Pages 181-195

    Random Dynamical Systems in Economics

  14. No Access

    Book Chapter

    Pages 197-212

    A Geometric Cascade for the Spectral Approximation of the Navier-Stokes Equations

  15. No Access

    Book Chapter

    Pages 213-236

    Inertial Manifolds for Random Differential Equations

  16. No Access

    Book Chapter

    Pages 237-246

    Existence and Uniqueness of Classical, Nonnegative, Smooth Solutions of a Class of Semi-Linear Spdes

  17. No Access

    Book Chapter

    Pages 247-258

    Nonlinear Pde’s Driven by Lévy Diffusions and Related Statistical Issues

  18. Back Matter

    Pages 259-262