Solvability for the non-isothermal Kobayashi–Warren–Carter system

AIMS Mathematics

关键词: : ;    Non-isothermal grain boundary motion;    Kobayashi–Warren–Carter type model;    existence of L2-based solution;    weighted total variation;    time-discretization;   

DOI  :  10.3934/Math.2017.1.161

学科分类：数学（综合）

来源: AIMS Press

【 摘 要 】

In this paper, a system of parabolic type initial-boundary value problems are considered. The system (S)$_\nu$ is based on the non-isothermal model of grain boundary motion by ^[38], which was derived as an extending version of the ``Kobayashi--Warren--Carter model'' of grain boundary motion by ^[23]. Under suitable assumptions, the existence theorem of $ L^2 $-based solutions is concluded, as a versatile mathematical theory to analyze various Kobayashi--Warren--Carter type models.

【 授权许可】

CC BY