用惩罚法求解Maxwell-Stokes型方程弱解的存在性

Q4 Mathematics

Advances in Dynamical Systems and Applications Pub Date : 2020-12-30 DOI:10.37622/ADSA/15.2.2020.231-247

J. Aramaki

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引用次数: 1

摘要

本文用Temam引入的惩罚方法证明了Maxwell-Stokes型方程弱解的存在性。我们的近似方程是非线性的，包含所谓的p旋度系统。进一步，我们得到了弱解对数据的连续依赖。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of a Weak Solution to the Maxwell-Stokes Type Equation by the Penalty Method

In this paper, we show the existence of a weak solution to the Maxwell-Stokes type equation by the penalty method introduced by Temam. Our approximate equation is nonlinear and contains so called p-curl system. Furthermore, we obtain the continuous dependence of the weak solution on the data.

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来源期刊

Advances in Dynamical Systems and Applications Mathematics-Analysis

CiteScore

0.30

自引率

0.00%

发文量