关于奇异热方程

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2024-02-26 DOI:10.1134/s001226612312011x

E. L. Shishkina, A. K. Yusupova

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引用次数: 0

摘要

摘要在物理学中，带有贝塞尔算子的奇异热方程用于解释具有球面或圆柱体对称性的物质中热量传输的基本过程。本文研究了贝塞尔算子作用于空间变量的热方程 Cauchy 问题的解。我们得到了解的一些性质，并考虑了第一类归一化修正贝塞尔函数。

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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On Singular Heat Equation

Abstract

In physics, the singular heat equation with the Bessel operator is used to explain the basic process of heat transport in a substance with spherical or cylinder symmetry. This paper examines the solution of the Cauchy problem for the heat equation with the Bessel operator acting in the space variable. We obtain some properties of the solution and consider the normalized modified Bessel function of the first kind.

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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.