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On a system of nonlinear PDE's for phase transitions with vector order parameter and convective effect
Institution:Department of Applied Physics, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
Abstract: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.
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