{"title":"Inviscid damping of monotone shear flows for 2D inhomogeneous Euler\n equation with non-constant density in a finite channel","authors":"Zhao, Weiren","doi":"10.48550/arxiv.2304.09841","DOIUrl":null,"url":null,"abstract":"We prove the nonlinear inviscid damping for a class of monotone shear flows with non-constant background density for the two-dimensional ideal inhomogeneous fluids in $\\mathbb{T}\\times [0,1]$ when the initial perturbation is in Gevrey-$\\frac{1}{s}$ ($\\frac{1}{2}<s<1$) class with compact support.","PeriodicalId":496270,"journal":{"name":"arXiv (Cornell University)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv (Cornell University)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48550/arxiv.2304.09841","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 the nonlinear inviscid damping for a class of monotone shear flows with non-constant background density for the two-dimensional ideal inhomogeneous fluids in $\mathbb{T}\times [0,1]$ when the initial perturbation is in Gevrey-$\frac{1}{s}$ ($\frac{1}{2}
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