Local Reduction of Certain Wave Operators to One-Dimensional Form

Abstract

It is noted that certain common linear wave operators have the property that linear variation of the initial data gives rise to one-dimensional evolution in a plane defined by time and some direction in space. The analysis is given for operators arising in acoustics, electromagnetics, elastodynamics, and an abstract system. Wave equations, Reduction of dimension.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1994
Accession Number
ADA284105

Entities

People

  • Philip Roe

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Acoustics
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Mechanics
  • Numerical Analysis
  • Partial Differential Equations
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space