一种新的固固相变模型的弱解的存在性（英文）

Existence of Weak Solutions for a New Solid-solid Phase Transition Model

本文研究了一个新的基于构型力的序参数不守恒的相变模型.这个模型由两个线性方程和一个非线性的抛物方程组成.给出了其初边值问题的弱解的一种定义,并在一维情形下证明了弱解的存在性.

In this paper,we focus on a new phase transition model driven by configurationsl forces with non-conserved order parameter.It generalizes the model consisting of two linear equations coupled with a nonlinear parabolic partial differential equation.The existence of a weak solution to an initial boundary value problem for the system is proved.Our existence proof is only valid in one-dimensional space.