Application of Asymptotic Methods to the Question of Stability in Stationary Solution with Discontinuity on a Curve

IF 0.7 4区数学 Q3 MATHEMATICS, APPLIED

Computational Mathematics and Mathematical Physics Pub Date : 2024-07-18 DOI:10.1134/s0965542524700519

A. Liubavin, Mingkang Ni

引用次数: 0

Abstract

This article is considering the stability property of the solution with inner layer for singularly perturbed stationary equation with Neumann boundary conditions. The right-hand side is assumed to have discontinuity on some arbitrary curve \(h(t)\). Stability analysis is performed by obtaining the first non-zero coefficient of the series for eigenvalue and eigenfunction from the Sturm–Liouville problem. Theory of the asymptotic approximations is used in order to construct them.

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渐近方法在曲线上不连续的静止解稳定性问题中的应用

摘要本文考虑的是具有 Neumann 边界条件的奇异扰动静止方程带内层解的稳定性。假设右侧在某条任意曲线上具有不连续性（h(t)\）。通过从 Sturm-Liouville 问题中获取特征值和特征函数序列的第一个非零系数来进行稳定性分析。为了构建它们，使用了渐近近似理论。

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

Computational Mathematics and Mathematical Physics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.50

自引率

14.30%

发文量

125

审稿时长

4-8 weeks

期刊介绍： Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.