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Fourth International Conference on Dynamic Systems and Applications
May 21-24, 2003
Department of Mathematics, Morehouse College
Atlanta, GA, USA

Organizers
M. Sambandham

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Equations of Interface Dynamics for Quasi-Stationary Stefan Problems
by
Roman Andrushkiw
New Jersey Institute of Technology , NJ
Coauthors: V. Gafiychuk, A. Shnyr, and R. Zabrodsky, New Jersey Institute of Technology , NJ

The interface dynamics in a Laplacian growth model is investigated, using conformal mapping techniques. Starting from the governing equation of B. Shraiman and D. Bensimon, we derive integrodifferential evolution equations of interface dynamics. It is shown that the representation based on conformal mapping techniques is convenient for computer simulation of quasistationary Stefan problems. Application of the technique to anisotropic growth of crystals is considered.

Date received: February 27, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakr-68.