{"title":"Continuity in Time of Weak Solutions for the Nonlinear Evolution Dam Problem Associated With a Compressible Fluid Flow","authors":"E. Zaouche","doi":"10.1109/ICRAMI52622.2021.9585927","DOIUrl":null,"url":null,"abstract":"In this work, we consider the weak formulation of the evolution dam problem related to a compressible fluid flow governed by a nonlinear Darcy’s law. We prove the continuity in time of weak solutions for this problem which represents an extension of the regularity result obtained in the heterogeneous case [13].","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICRAMI52622.2021.9585927","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
In this work, we consider the weak formulation of the evolution dam problem related to a compressible fluid flow governed by a nonlinear Darcy’s law. We prove the continuity in time of weak solutions for this problem which represents an extension of the regularity result obtained in the heterogeneous case [13].
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