{"title":"微波剪切流的稳定性和特征值边界","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":"{\"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}","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}
Stability and eigenvalue bounds for micropolar shear flows
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.
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