关于奇异热方程

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

E. L. Shishkina, A. K. Yusupova

{"title":"关于奇异热方程","authors":"E. L. Shishkina, A. K. Yusupova","doi":"10.1134/s001226612312011x","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> In physics, the singular heat equation with the Bessel operator is used to explain the basic\nprocess of heat transport in a substance with spherical or cylinder symmetry. This paper examines\nthe solution of the Cauchy problem for the heat equation with the Bessel operator acting in the\nspace variable. We obtain some properties of the solution and consider the normalized modified\nBessel function of the first kind.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Singular Heat Equation\",\"authors\":\"E. L. Shishkina, A. K. Yusupova\",\"doi\":\"10.1134/s001226612312011x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p> In physics, the singular heat equation with the Bessel operator is used to explain the basic\\nprocess of heat transport in a substance with spherical or cylinder symmetry. This paper examines\\nthe solution of the Cauchy problem for the heat equation with the Bessel operator acting in the\\nspace variable. We obtain some properties of the solution and consider the normalized modified\\nBessel function of the first kind.\\n</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-02-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s001226612312011x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s001226612312011x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

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。

查看原文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助