论文标题
保守类型的奇异相位系统的非本地收敛
Nonlocal to local convergence of singular phase field systems of conserved type
论文作者
论文摘要
本文处理保守类型的单数非局部相位场系统。Colli-k。\ [非线性肛门。\ 190（2020）]已衍生出解决方案的存在，以实现保守类型的单个相位场系统。另一方面，达沃利 - 萨尔帕 - trussardi [拱门。配给。机械。肛门。\ 239（2021）]已经研究了cahn-hilliard方程的局部收敛。在本文中，我们证明了保守类型的非本地单相位场系统的解决方案，其内核不是$ w^{1，1} $，并专注于非本地的保守类型的奇异相位场系统的局部收敛。
This paper deals with a singular nonlocal phase field system of conserved type.Colli--K.\ [Nonlinear Anal.\ 190 (2020)] have derived existence of solutions to a singular phase field system of conserved type. On the other hand, Davoli--Scarpa--Trussardi [Arch. Ration. Mech. Anal.\ 239 (2021)] have studied nonlocal to local convergence of Cahn-Hilliard equations. In this paper we prove existence of solutions to a nonlocal singular phase field system of conserved type whose kernel is not $W^{1, 1}$ and focus on nonlocal to local convergence of singular phase field systems of conserved type.
