On Dynamical Aspects of a Phase Transition Problem,

Abstract

In this note we discuss a dynamical systems approach to a phase transition problem based on the Korteweg theory of capillarity. We consider the existence of a global solution to show that we have a dynamical system. We discuss the stability and bifurcation analysis of stationary solutions and then we study the connecting orbit problems in-the semiflow. The connection matrix is a useful tool to discuss qualitative aspects of the dynamical behavior of solutions. We also discuss the slowly varying solutions and preliminary numerical results for this are given.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADP006623

Entities

People

  • Harumi Hattori
  • Hiroaki Fujimoto

Organizations

  • West Virginia University

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Capillarity
  • Equations
  • Equations Of State
  • Mathematics
  • Minnesota
  • Phase Transformations
  • Stationary
  • Systems Approach
  • Transitions

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Control Systems Engineering.
  • Systems Analysis and Design

Technology Areas

  • Space