{"title":"非均匀供热水平层中的热对流","authors":"Hiroshi Fujiwara, Takaaki Nishida","doi":"10.1007/s13160-024-00655-5","DOIUrl":null,"url":null,"abstract":"<p>A thermal convection in horizontal fluid layer under gravity is considered. The fluid is heated from above non-uniformly. An existence theorem of stationary solutions is proved and some flow patterns are shown by numerical computations.</p>","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"42 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Heat convections in the horizontal layer with non-uniform heat supply\",\"authors\":\"Hiroshi Fujiwara, Takaaki Nishida\",\"doi\":\"10.1007/s13160-024-00655-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A thermal convection in horizontal fluid layer under gravity is considered. The fluid is heated from above non-uniformly. An existence theorem of stationary solutions is proved and some flow patterns are shown by numerical computations.</p>\",\"PeriodicalId\":50264,\"journal\":{\"name\":\"Japan Journal of Industrial and Applied Mathematics\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-04-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Japan Journal of Industrial and Applied Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s13160-024-00655-5\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Japan Journal of Industrial and Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s13160-024-00655-5","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Heat convections in the horizontal layer with non-uniform heat supply
A thermal convection in horizontal fluid layer under gravity is considered. The fluid is heated from above non-uniformly. An existence theorem of stationary solutions is proved and some flow patterns are shown by numerical computations.
期刊介绍：
Japan Journal of Industrial and Applied Mathematics (JJIAM) is intended to provide an international forum for the expression of new ideas, as well as a site for the presentation of original research in various fields of the mathematical sciences. Consequently the most welcome types of articles are those which provide new insights into and methods for mathematical structures of various phenomena in the natural, social and industrial sciences, those which link real-world phenomena and mathematics through modeling and analysis, and those which impact the development of the mathematical sciences. The scope of the journal covers applied mathematical analysis, computational techniques and industrial mathematics.
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