A Large Deviation, Hamilton-Jacobi Equation Approach to a Statistical Theory for Turbulence

Abstract

2-D vortex dynamic arise naturally in helicopter turbulent models. It is important to understand its behavior. This project is part of a long term on-going work. The goal is to develop methodology for understanding statistical behavior of complex flows by 1. computing dynamic entropy (large deviation theory) associated with stochastic systems defined by first principles 2. analyzing large particle and large time limit of the dynamic entropy to derive or mathematically characterize quasi-potentials (using Hamilton-Jacobi equations). Novel techniques both in large deviation theory and in Hamilton-Jacobi equation theory are developed in the funded research period. Future research in this area will continue.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 03, 2012
Accession Number
ADA575877

Entities

People

  • Feng Jin

Organizations

  • University of Kansas

Tags

Communities of Interest

  • Air Platforms
  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Agreements
  • Army Operations
  • Department Of Defense
  • Equations
  • Euler Equations
  • Flow
  • Functional Analysis
  • Law
  • Mass Transportation
  • Mathematics
  • Mechanics
  • Probability
  • Students
  • Technology Transfer
  • Turbulent Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.
  • Technical Research and Report Writing.