{"title":"Turbulence in active fluids caused by self-propulsion","authors":"C. Bui, H. Löwen, J. Saal","doi":"10.3233/ASY-181510","DOIUrl":null,"url":null,"abstract":"A rigoros analytical justification of turbulence observed in active fluids and caused by self-propulsion is presented. We prove existence of unstable wave modes for the generalized Stokes and Navier-Stokes systems by developing an approach in spaces of Fourier transformed Radon measures.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"53 1","pages":"195-209"},"PeriodicalIF":0.0000,"publicationDate":"2018-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asymptot. Anal.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/ASY-181510","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A rigoros analytical justification of turbulence observed in active fluids and caused by self-propulsion is presented. We prove existence of unstable wave modes for the generalized Stokes and Navier-Stokes systems by developing an approach in spaces of Fourier transformed Radon measures.