The Korteweg-de Vries Equation, Posed in a Quarter Plane.

Abstract

An initial- and boundary-value problem for the Korteweg-de Vries equation is shown to be well-posed. The considered problem may serve as a model for unidirectional propagation of plane waves generated by a wavemaker in a uniform medium. Such models apply in regimes in which nonlinear and dispersive effects are of comparable small order. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA103861

Entities

People

  • Jerry Bona
  • Ragnar Winther

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Banach Space
  • Boundary Value Problems
  • Computational Science
  • Differential Equations
  • Domain Specific Programming Languages
  • Equations
  • Fluid Mechanics
  • Fluids
  • Integral Equations
  • Long Wavelengths
  • Mathematical Analysis
  • Mathematics
  • Plane Waves
  • Surface Waters
  • United States
  • Water Waves
  • Waves

Fields of Study

  • Mathematics

Readers

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