Fourier Analysis of Initial Value Problems for Surface and Internal Waves, II,

Abstract

Different types of initial value problems and one moving source problem are considered for a fluid of constant depth and constant Brunt-Vaisala frequency. Two alternate Fourier representations are developed, one appropriate for analysis in terms of transverse propagation of modes, the other appropriate for analysis in terms of three dimensional propagation with reflections from upper and lower surfaces. Asymptotic expansions of these representations are then derived, these representations taking different forms depending upon the nature of the initial data or source. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1971
Accession Number
AD0733395

Entities

People

  • D. Hector
  • Jonathan D. Cohen
  • Norman Bleistein

Organizations

  • Denver Research Institute

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Doppler Effect
  • Fourier Analysis
  • Frequency
  • Frequency Shift
  • Internal Waves
  • Mathematical Analysis
  • Mathematics
  • Reflection
  • Three Dimensional
  • Transverse
  • Waves

Fields of Study

  • Mathematics

Readers

  • Artificial Intelligence
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.