Compact Attractors for a Stefan Problem with Kinetics

Date
2002-02-12
Authors
Frankel, Michael L.
Roytburd, Victor
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We prove existence of a unique bounded classical solution for a one-phase free-boundary problem with kinetics for continuous initial conditions. The main result of this paper establishes existence of a compact attractor for classical solutions of the problem.
Description
Keywords
Stefan problem, Compact attractors, Kinetic condition
Citation
Frankel, M. L., & Roytburd, V. (2002). Compact attractors for a Stefan problem with kinetics. <i>Electronic Journal of Differential Equations, 2002</i>(15), pp. 1-27.