On the Shore Singularity of Water Waves. Part 1. The Local Model.

Abstract

The nonlinear equations governing inviscid water waves close to shore over beaches of small slope are discussed to elucidate their scope, limitations and ramifications. Their decisive feature is a singularity of the differential equations themselves, and to open the way for analysis, an associated problem is formulated in terms of singular wave equations. The emphasis is on the identification of the questions of oceanographical relevance that can be asked and the ways in which they can be posed to construct the basis for a corrrect, mathematical analysis and for its application to shoaling predictions (Part II).

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1985
Accession Number
ADA163707

Entities

People

  • R. E. Meyer

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Differential Equations
  • Equations
  • Identification
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Real Variables
  • Statistical Analysis
  • Theorems
  • Water Waves
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Coastal Oceanography
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.