{"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}
引用次数: 0
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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