Global existence and large-time behavior of a parabolic phase-field model with Neumann boundary conditions

被引：0

作者：

Tang, Yangxin ^{[1
]}

Zheng, Lin ^{[1
]}

机构：

[1] Anhui Univ Finance & Econ, Inst Quantitat Econ, Sch Stat & Appl Math, Bengbu, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 01期

关键词：

nonlinear parabolic equation; neumann boundary conditions; existence of solutions; maximal attractor; inertial set;

D O I：

10.1002/mma.8514

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we continue to study an initial boundary value problems to a model describing the evolution in time of diffusive phase interfaces in sea ice growth. In a previous paper, the global existence and the large-time behavior of weak solutions in one space was studied under Dirichlet boundary conditions. Here, we show that the global existence of weak solutions and the large-time behavior are also studied under Neumann boundary condition. In this paper, we study in space dimension lower than or equal to 3.

引用

页码：339 / 355

页数：17

共 8 条

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