Large Deviations for the Stochastic Shell Model of Turbulence

Abstract

In this work, we first prove the existence and uniqueness of a strong solution to stochastic GOY model of turbulence with a small multiplicative noise. Then using the weak convergence approach, Laplace principle for solutions of the stochastic GOY model is established in certain Polish space. Thus a Wentzell-Freidlin type large deviation principle is established utilizing certain results by Varadhan and Bryc.

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Document Details

Document Type
Technical Report
Publication Date
May 27, 2009
Accession Number
ADA516400

Entities

People

  • P. Sundar
  • S. S. Sritharan
  • Uttam Manna

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Hilbert Space
  • Mathematics
  • Mechanics
  • New York
  • Numerical Analysis
  • Partial Differential Equations
  • Probability
  • Random Variables
  • Stochastic Control
  • Stochastic Processes
  • Two Dimensional
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space