Nonlinear Wave and Diffusion Equations

Abstract

This is the problem of the entry of a wedge into water, and models the impact of seas on a ship's hull. Dr. McLeod, in conjunction with Professor E.G. Fraenkel, whose visit to Oxford was supported in part by the Grant, made an analysis of the integral equation which governs this model, and much qualitative information about the nature of possible solutions was obtained. This should lead to a result about the existence of solutions, a question which has been unresolved for some 50 years.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1988
Accession Number
ADA196951

Entities

People

  • J. B. Mcleod

Organizations

  • University of Oxford

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Conformal Mapping
  • Contractors
  • Contracts
  • Electrical Solitons
  • Equations
  • Heat Energy
  • Heat Transfer
  • Heat Transfer Coefficients
  • Military Research
  • Solidification
  • Supercooling
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Research Science/Academic Research
  • Theoretical Analysis.