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