{"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":50580,"journal":{"name":"Differential Equations","volume":"44 3 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s00122661230110113","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
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.
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.
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