A New Approach to 'Queer' Differential Equations.

Abstract

Queer differential equations first arose in the work of Harold Grad on controlled thermonuclear fusion. These relate in particular to models for the slow adiabatic evolution and resistive diffusion of a plasma. These are queer in that these share aspects of partial, ordinary and functional differential equations. In this document the authors give a new way of thinking of these equations by relating these to free boundary problems. This is the first of a series of papers intending to demonstrate that solutions of such a queer differential equation can be thought of as limits of solutions of free boundary problems with n-free boundaries. A long term hope is that this work will complement and further refine existing numerical schemes for finding such solutions.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA149231

Entities

People

  • E. W. Stredulinsky
  • P. Laurence

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Compression
  • Convex Sets
  • Differential Equations
  • Diffusion
  • Equations
  • Euler Equations
  • Geometry
  • Inequalities
  • Integrals
  • Mathematics
  • New York
  • North Carolina
  • Two Dimensional
  • United States
  • Universities
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Oceanography.
  • Pulsed Power and Plasma Physics.