Existence of global attractors and convergence of solutions for the Cahn-Hilliard equation on manifolds with conical singularities

被引：0

作者：

Lopes, Pedro T. P. ^{[1
]}

Roidos, Nikolaos ^{[2
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, Sao Paulo 05508090, SP, Brazil

[2] Univ Patras, Dept Math, Patras 26504, Greece

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 531卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Asymptotic behavior of solutions to PDEs; Semilinear parabolic equations; Degenerate parabolic equations; Semilinear parabolic equations with Laplacian; bi-Laplacian or; poly-Laplacian; PDEs on manifolds;

D O I：

10.1016/j.jmaa.2023.127851

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cahn-Hilliard equation on manifolds with conical singularities and prove existence of global attractors in higher order Mellin-Sobolev spaces with asymptotics. We also show convergence of solutions in the same spaces to an equilibrium point and provide asymptotic behavior of the equilibrium near the conical tips in terms of the local geometry.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：25

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