On a system of nonlinear PDE's for phase transitions with vector order parameter and convective effect
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摘要
The paper deals with a system of nonlinear PDE's which describes a phase-field model with convection and temperature dependent constraint to the vector order parameter. Existence of solutions for the system under consideration is proved by the method of Yosida approximation and fixed point arguments.
论文关键词:35R70,35K50,74N30,Nonlinear PDE's,Existence of solutions,Subdifferential,Yosida approximation,Hysteresis,Vector order parameter,Convection
论文评审过程:Received 20 November 2003, Revised 16 August 2004, Available online 11 November 2004.
论文官网地址:https://doi.org/10.1016/j.cam.2004.09.022