Viscosity solutions to a new phase-field model with Neumann boundary condition for solid-solid phase transitions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:486

Article

Han, Xue¹  Bian, Xingzhi² 

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Shanghai Univ, Mat Genome Inst, Shanghai 200444, Peoples R China

关键词: Elliptic-parabolic system;    Degenerate parabolic equation;    Viscosity solutions;    Neumann boundary condition;    Phase-field model;    Solid-solid phase transitions;   

DOI  :  10.1016/j.jmaa.2020.123900

来源: Elsevier

【 摘 要 】

We shall study an initial-boundary value problem of a new phase field model, which is a degenerate parabolic equation coupled to a linear elasticity sub-system, used to describe the solid-solid phase transitions in elastically deformable solid materials. We establish a series of approximate solutions to the initial boundary value problem, and prove that the viscosity solutions to this initial boundary value problem exist, in a one dimensional case. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free