Some Remarks on the Stefan Problem with Surface Structure. Stability and Thermal Influences in Nonlinear Continuum Mechanics

Abstract

This paper discusses a generalized Stefan problem which allows for supercooling and superheating and for capillarity in the interface between phases. Simple solutions are obtained indicating the chief differences between this problem and the classical Stefan problem. A weak formulation of the general problem is given.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1990
Accession Number
ADA244289

Entities

People

  • H. M. Soner
  • Morton E. Gurtin

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Air Platforms
  • Human Systems

DTIC Thesaurus Topics

  • Applied Mathematics
  • Calculus Of Variations
  • Capillarity
  • Continuum Mechanics
  • Differential Equations
  • Equations
  • Equations Of State
  • Heat Energy
  • Integral Equations
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Partial Differential Equations
  • Phase Transformations
  • Solid Phases
  • Supercooling
  • Thermodynamics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.