{"title":"The optimal decay rates for solutions to the 3D Boussinesq equations with a velocity damping term in R3","authors":"Lihua Dong","doi":"10.1016/j.na.2025.113775","DOIUrl":null,"url":null,"abstract":"<div><div>This paper is concerned with asymptotic stability of certain stationary solution to the 3D Boussinesq equations in the whole space <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span> with a damping term in the velocity equation. Precisely, the decay rates of solutions is optimal in sense that these rates coincide with that of the linearized equations.</div></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":"255 ","pages":"Article 113775"},"PeriodicalIF":1.3000,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Theory Methods & Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0362546X25000306","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/2/18 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper is concerned with asymptotic stability of certain stationary solution to the 3D Boussinesq equations in the whole space with a damping term in the velocity equation. Precisely, the decay rates of solutions is optimal in sense that these rates coincide with that of the linearized equations.
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