Free Boundary Problems for Parabolic Equations.

Abstract

A Free boundary problem is a boundary value problem for a (partial) Differential equation in a domain which is not fully known but must be also determined. This project is concerned with such problems when the PDE involved is of parabolic type. Problems of this type occur in practice in the study of change of phase (e.g., evaporation, condensation, freezing, melting, sublimination), and are frequently called (generalized) Stefan problems. The specific objective was to study some special problems by reduction to equivalent integral equations, and to write a monograph on the subject. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 25, 1971
Accession Number
AD0729052

Entities

People

  • Ignace I. Kolodner

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Condensation
  • Differential Equations
  • Equations
  • Equations Of State
  • Evaporation
  • Freezing
  • Integral Equations
  • Integrals
  • Isothermal Processes
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion science or combustion engineering.