Publication

Existence of solutions to an anisotropic phase-field model

Jacques Rappaz
2003
Journal Articles

Abstract

We consider an anisotropic phase-field model for the isothermal solidification of a binary alloy due to Warren-Boettinger (Acta. Metall. Mater. 1995; 43(2):689)., Existence of weak solutions is established under a certain convexity condition on the strongly non-linear second-order anisotropic operator and Lipschitz and boundedness assumptions for the non-linearities. A maximum principle holds that guarantees the existence of a solution under physical assumptions on the non-linearities. The qualitative properties of the solutions are illustrated by a numerical example. Copyright (C) 2003 John Wiley Sons, Ltd.

Official source

https://infoscience.epfl.ch/entities/publication/608cc52f-f98f-46b8-b892-645d69513324

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Jacques Rappaz
2003
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/608cc52f-f98f-46b8-b892-645d69513324

About this result

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