Accession Number:

ADP006623

Title:

On Dynamical Aspects of a Phase Transition Problem,

Descriptive Note:

Corporate Author:

WEST VIRGINIA UNIV MORGANTOWN DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1992-03-01

Pagination or Media Count:

9.0

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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE