EXPLICIT INTEGRAL SOLUTION OF THE INITIAL VALUE PROBLEM IN ACOUSTICS FOR PAST AND FUTURE TIMES,

Abstract

Explicit solution of the initial value problem for an acoustical disturbance has been given in two dimensions by Diaz and Landshoff, for times t < 0, besides t > or = 0. The present report extends the results to three dimensions, using a different method to construct the solution. The two dimensional solution is deduced by Hadamard's method of descent. The conditions imposed on the initial data to insure the existence and uniqueness of the solution are weaker than those of Diaz and Landshoff. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1966
Accession Number
AD0644614

Entities

People

  • A. R. Kiwan

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Acoustics
  • Geometry
  • Integrals
  • Mathematics
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis