具有简并迁移率的曲面Cahn-Hilliard方程

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-09-24 DOI:10.1016/j.nonrwa.2025.104481

Charles M. Elliott, Thomas Sales

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引用次数: 0

摘要

考虑一类演化曲面上具有非常数（退化）迁移率的Cahn-Hilliard方程的弱解的存在性。我们还证明了正迁移函数的弱-强唯一性，并在初始数据的进一步假设下，证明了退化迁移函数的一类强解的唯一性。

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The evolving surface Cahn–Hilliard equation with a degenerate mobility

We consider the existence of suitable weak solutions to the Cahn-Hilliard equation with a non-constant (degenerate) mobility on a class of evolving surfaces. We also show weak-strong uniqueness for the case of a positive mobility function, and under some further assumptions on the initial data we show uniqueness for a class of strong solutions for a degenerate mobility function.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.