{"title":"Stability and eigenvalue bounds for micropolar shear flows","authors":"Pablo Braz e Silva, Jackellyny Carvalho","doi":"arxiv-2409.11584","DOIUrl":null,"url":null,"abstract":"We prove eigenvalue bounds for two-dimensional linearized disturbances of\nparallel flows of micropolar fluids, deriving the Orr-Sommerfeld equations and\nproviding a sufficient condition for linear stability of such flows. We also\nderive wave speed bounds.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11584","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
We prove eigenvalue bounds for two-dimensional linearized disturbances of
parallel flows of micropolar fluids, deriving the Orr-Sommerfeld equations and
providing a sufficient condition for linear stability of such flows. We also
derive wave speed bounds.