{"title":"论薄层中纳维尔-斯托克斯方程模型周期解的稳定性","authors":"E. S. Boldyreva","doi":"10.1134/s00122661230110113","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study the existence and stability of periodic solutions of the model Navier–Stokes\nequation in a thin three-dimensional layer depending on the existence and stability of periodic\nsolutions of a special limit two-dimensional equation.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Stability of Periodic Solutions of a Model Navier–Stokes Equation in a Thin Layer\",\"authors\":\"E. S. Boldyreva\",\"doi\":\"10.1134/s00122661230110113\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p> We study the existence and stability of periodic solutions of the model Navier–Stokes\\nequation in a thin three-dimensional layer depending on the existence and stability of periodic\\nsolutions of a special limit two-dimensional equation.\\n</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-12-29\",\"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/s00122661230110113\",\"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/s00122661230110113","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Stability of Periodic Solutions of a Model Navier–Stokes Equation in a Thin Layer
Abstract
We study the existence and stability of periodic solutions of the model Navier–Stokes
equation in a thin three-dimensional layer depending on the existence and stability of periodic
solutions of a special limit two-dimensional equation.
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