Accession Number : ADP006623

Title :   On Dynamical Aspects of a Phase Transition Problem,

Corporate Author : WEST VIRGINIA UNIV MORGANTOWN DEPT OF MATHEMATICS

Personal Author(s) : Fujimoto, Hiroaki ; Hattori, Harumi

Report Date : MAR 1992

Pagination or Media Count : 9

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.

Descriptors :   *CAPILLARITY, *PHASE TRANSFORMATIONS, *TRANSITIONS, APPROACH, BEHAVIOR, GLOBAL, ORBITS, PHASE, STABILITY, STATIONARY, SYSTEMS APPROACH, THEORY, TOOLS.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE