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Solutions to a three phase-field model for solidification
  • yangxin Tang,
  • Wei Gao
yangxin Tang
Anhui University of Finance and Economics
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Wei Gao
Anhui University of Finance and Economics
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Abstract

In this paper we present the phase-field models to describe nonisothermal solidification of ideal multicomponent and multiphase alloy systems. Governing equations are developed for the temporal and spatial variation of three phase-field functions, as well as the temperature field. The global existence of weak solutions to parabolic differential equations in three dimension was proved by the Galerkin method. The existence of a maximum theorem are also extensively studied.