Convergence of the Hermite Wavelet Expansion

Abstract

In this report we summarize the research carried out under this contract on the chaos dynamics analysis of the free sheared atmosphere. Our approach is to expand the fluid equations into finite energy modes rather than in the conventional Fourier analysis. We prove rigorously that our expansion method has the required convergence properties to ensure a satisfactory physical interpretation of the results. For the Taylor-Dyson atmosphere, our analysis, like the Fourier analysis yields no unstable modes.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1992
Accession Number
ADA271435

Entities

People

  • G. H. Sandri

Organizations

  • Boston University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Atmospheres
  • Cauchy Problem
  • Complex Variables
  • Contracts
  • Convergence
  • Delta Functions
  • Differential Equations
  • Diffusion
  • Equations
  • Fluid Flow
  • Numbers
  • Partial Differential Equations
  • Physics
  • Sequences
  • Theorems
  • Topology

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Technical Research and Report Writing.