{"title":"A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation","authors":"Sébastien Boyaval","doi":"10.5802/crmeca.165","DOIUrl":null,"url":null,"abstract":"Maxwell models for viscoelastic flows are famous for their potential to unify elastic motions of solids with viscous motions of liquids in the continuum mechanics perspective. But the usual Maxwell models allow one to define well motions mostly for one-dimensional flows only. To define unequivocal multi-dimensional viscoelastic flows (as solutions to well-posed initial-value problems) we advocated in [ESAIM:M2AN 55 (2021), p. 807-831] an upper-convected Maxwell model for compressible flows with a symmetric-hyperbolic formulation. Here, that model is derived again, with new details.","PeriodicalId":10566,"journal":{"name":"Comptes Rendus. Chimie","volume":"112 12 1","pages":"0"},"PeriodicalIF":1.2000,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus. Chimie","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/crmeca.165","RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Maxwell models for viscoelastic flows are famous for their potential to unify elastic motions of solids with viscous motions of liquids in the continuum mechanics perspective. But the usual Maxwell models allow one to define well motions mostly for one-dimensional flows only. To define unequivocal multi-dimensional viscoelastic flows (as solutions to well-posed initial-value problems) we advocated in [ESAIM:M2AN 55 (2021), p. 807-831] an upper-convected Maxwell model for compressible flows with a symmetric-hyperbolic formulation. Here, that model is derived again, with new details.
粘弹性流动的麦克斯韦模型以其从连续介质力学角度统一固体的弹性运动和液体的粘性运动的潜力而闻名。但是通常的麦克斯韦模型只允许人们定义一维流动的井运动。我们在[ESAIM:M2AN 55 (2021)， p. 807-831]中提出了一个具有对称双曲公式的可压缩流动的上对流Maxwell模型，以定义明确的多维粘弹性流动(作为良好定初值问题的解)。在这里，这个模型又衍生出来了，有了新的细节。
期刊介绍：
The Comptes Rendus - Chimie are a free-of-charge, open access and peer-reviewed electronic scientific journal publishing original research articles. It is one of seven journals published by the Académie des sciences.
Its objective is to enable researchers to quickly share their work with the international scientific community.
The Comptes Rendus - Chimie also publish journal articles, thematic issues and articles reflecting the history of the Académie des sciences and its current scientific activity.
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