Nonlinear Problems in Fluid Dynamics and Inverse Scattering

Abstract

The inverse scattering of a class of differential-difference equations and multidimensional operators has been constructed. Solutions of nonlinear wave equations arising in fluid dynamics and plasma physics were found and analyzed. Novel and fast computational algorithms were developed and in relevant nonlinear problems wavelet bases with controlled localization properties in the time-frequency domain have proven to be an effective tool. Landau type amplitude equations governing the small gap Taylor problem have been obtained and analyzed. Detailed project summaries and research activities are given in the attached document. A list of published papers, preprints, and invited lectures are included

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Document Details

Document Type
Technical Report
Publication Date
May 31, 1993
Accession Number
ADA266234

Entities

People

  • Duane P. Sather
  • Gregory Beylkin
  • Mark J. Ablowitz

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Electrical Solitons
  • Equations
  • Fluid Dynamics
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Solitons
  • Wave Equations
  • Waves

Readers

  • Academic Conference Management
  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)