THE INITIAL-VALUE PROBLEM FOR LONG WAVES OF FINITE AMPLITUDE,

Abstract

Derived herein is a set of partial differential equations governing the propagation of an arbitrary, long-wave disturbance of small, but finite amplitude. The equations reduce to that of Boussinesq (1872) when the assumption is made that the disturbance is propagating in one direction only. The equations are hyperbolic with characteristics curves of constant slope. The initial-value problem can be solved very readily by numerical integration along charac teristics. A few examples are included. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1963
Accession Number
AD0412771

Entities

People

  • Robert R. Long

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.