Stability of the separable solutions for a nonlinear boundary diffusion problem

IF 2.1 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-02-01 DOI:10.1016/j.matpur.2024.01.002

Tianling Jin , Jingang Xiong , Xuzhou Yang

引用次数: 0

Abstract

In this paper, we study a nonlinear boundary diffusion equation of porous medium type arising from a boundary control problem. We give a complete and sharp characterization of the asymptotic behavior of its solutions, and prove the stability of its separable solutions.

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非线性边界扩散问题可分离解的稳定性

本文研究了由边界控制问题引起的多孔介质型非线性边界扩散方程。我们给出了其解的渐近行为的完整而尖锐的特征，并证明了其可分离解的稳定性。

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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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.