RADIATION AND SCATTERING OF TRANSIENT GRAVITY WAVES BY VERTICAL PLATES.

Abstract

Some initial value problems are studied regarding the radiation and scattering of gravity waves by thin vertical plates in an infinitely deep ocean. The general solution is obtained by transforming the boundary value problem to one of the Riemann-Hilbert type. Explicit investigations are made for the large time behavior of the free surface elevation for the case of a rolling plate, and for the Cauchy-Poisson problems in the presence of a stationary plate. By taking the limit as t approaches infinity, the steady state solution is derived for a harmonic point pressure acting on the free surface near a vertical barrier. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1965
Accession Number
AD0462770

Entities

People

  • C. C. Mei

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Deep Oceans
  • Elevation
  • Gravity
  • Gravity Waves
  • Oceans
  • Radiation
  • Scattering
  • Stationary
  • Steady State
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering