{"title":"横向和垂直剪切分层流中三维扰动的稳定性研究","authors":"I. Panayotova, J. McHugh","doi":"10.2174/1874282301105010023","DOIUrl":null,"url":null,"abstract":"Howard's semi-circle theorem is generalized for three-dimensional disturbances in a non-Boussinesq stratified fluid with a mean flow varying horizontally and vertically. In case of Boussinesq approximation Howard's and Rayleigh's theorem are extended for three-dimensional disturbances in a fluid with a mean flow varying only with respect to the latitude.","PeriodicalId":122982,"journal":{"name":"The Open Atmospheric Science Journal","volume":"5 1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Stability of Three-Dimensional Disturbances in Stratified Flow with Lateral and Vertical Shear\",\"authors\":\"I. Panayotova, J. McHugh\",\"doi\":\"10.2174/1874282301105010023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Howard's semi-circle theorem is generalized for three-dimensional disturbances in a non-Boussinesq stratified fluid with a mean flow varying horizontally and vertically. In case of Boussinesq approximation Howard's and Rayleigh's theorem are extended for three-dimensional disturbances in a fluid with a mean flow varying only with respect to the latitude.\",\"PeriodicalId\":122982,\"journal\":{\"name\":\"The Open Atmospheric Science Journal\",\"volume\":\"5 1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-02-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Open Atmospheric Science Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2174/1874282301105010023\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Open Atmospheric Science Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2174/1874282301105010023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Stability of Three-Dimensional Disturbances in Stratified Flow with Lateral and Vertical Shear
Howard's semi-circle theorem is generalized for three-dimensional disturbances in a non-Boussinesq stratified fluid with a mean flow varying horizontally and vertically. In case of Boussinesq approximation Howard's and Rayleigh's theorem are extended for three-dimensional disturbances in a fluid with a mean flow varying only with respect to the latitude.