Stochastic Navier-Stokes Equations. Propagation of Chaos and Statistical Moments

Abstract

In the first part of the paper, we discuss existence and uniqueness results for a general stochastic-Navier-Stokes equation (SNS) derived from the first principles. In the second part, we deal with the propagation of Wiener chaos by the SNS and its relation to statistical moments of the solution.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2001
Accession Number
ADA413558

Entities

People

  • B. Rozovskii
  • R. Mikulevicius

Organizations

  • University of Southern California

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Brownian Motion
  • Coefficients
  • Computational Fluid Dynamics
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Fluid Statics
  • Hilbert Space
  • Mechanics
  • Military Research
  • Navier Stokes Equations
  • Notation
  • Random Variables
  • Stratified Fluids

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • Wave Propagation and Nonlinear Chaotic Dynamics.