Interdisciplinary Seminar in Nonlinear Science

Title: Phase-Field Asymptotics for Unequal Diffusivities
Speaker: Professor R. Almgren
Speaker Info: U. Chicago
Brief Description:
Special Note:

The phase field method is a reaction-diffusion system whose solutions contain thin boundary layers; in the asymptotic limit of a sharp interface, these layers move according to the modified Stefan problem describing solidification of a pure material from its melt. Recently, Karma and Rappel have constructed a more careful asymptotic analysis, to give dramatically better performance by controlling the "kinetic term." I show that their method may be described formally as continuing the standard asymptotic expansion to an additional order, and I show how it may be extended to the asymmetric case of unequal diffusivities, important for modeling alloy solidification.
Date: Friday, February 28, 1997
Time: 1:30pm
Where: Tech 3396
Contact Person: Prof. Riecke
Contact email: h-riecke@nwu.edu
Contact Phone: 847-491-8316
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