{"title":"On the Well-Posedness of the Boussinesq Equations with Anisotropic Filter for Turbulent Flows","authors":"L. Berselli, D. Catania","doi":"10.4171/ZAA/1529","DOIUrl":null,"url":null,"abstract":"We consider approximate deconvolution models for the Boussinesq equations, based on suitable anisotropic filters. We discuss existence and well-posedness of the solutions, with particular emphasis on the role of the energy (of the model) balance.","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":"17 1","pages":"61-83"},"PeriodicalIF":0.7000,"publicationDate":"2015-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zeitschrift fur Analysis und ihre Anwendungen","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/ZAA/1529","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 8
Abstract
We consider approximate deconvolution models for the Boussinesq equations, based on suitable anisotropic filters. We discuss existence and well-posedness of the solutions, with particular emphasis on the role of the energy (of the model) balance.
期刊介绍：
The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications.
To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.
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