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Singular Finite Element Solutions of the Axisymmetric Extrudate-Swell Problem 轴对称挤压膨胀问题的奇异有限元解
Free boundary problems: Pub Date : 2019-11-11 DOI: 10.1201/9780203755518-28
G. Georgiou, A. Boudouvis
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引用次数: 0
Well-Posedness for a Phase-Field Model with Constraint 带约束相场模型的适位性
Free boundary problems: Pub Date : 2019-11-11 DOI: 10.1201/9780203755518-12
N. Kenmochi, M. Kubo
{"title":"Well-Posedness for a Phase-Field Model with Constraint","authors":"N. Kenmochi, M. Kubo","doi":"10.1201/9780203755518-12","DOIUrl":"https://doi.org/10.1201/9780203755518-12","url":null,"abstract":"","PeriodicalId":12357,"journal":{"name":"Free boundary problems:","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79105128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Alloy Solidification with Convection in the Melt 合金熔体中对流凝固
Free boundary problems: Pub Date : 2019-11-11 DOI: 10.1201/9780203755518-22
V. Alexiades
{"title":"Alloy Solidification with Convection in the Melt","authors":"V. Alexiades","doi":"10.1201/9780203755518-22","DOIUrl":"https://doi.org/10.1201/9780203755518-22","url":null,"abstract":"Most models of alloy solidiication are severely limited by the assumption of constant density, thus excluding all convective eeects. We present a thermodynamicaly consistent model for binary alloy solidiication that incorporates energy, species and momentum conservation, constitutional supercooling, as well as temperature, concentration, and pressure dependence of thermophysical parameters. The crucial aspect is the development of an Equation of State capturing the thermochemistry of the phases. A numerical algorithm will also be outlined.","PeriodicalId":12357,"journal":{"name":"Free boundary problems:","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78722250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Mathematical Analysis of a Valley Glacier Model 一个河谷冰川模型的数学分析
Free boundary problems: Pub Date : 2019-11-11 DOI: 10.1201/9780203755518-20
J. Rodrigues, J. M. Urbano
{"title":"On the Mathematical Analysis of a Valley Glacier Model","authors":"J. Rodrigues, J. M. Urbano","doi":"10.1201/9780203755518-20","DOIUrl":"https://doi.org/10.1201/9780203755518-20","url":null,"abstract":"","PeriodicalId":12357,"journal":{"name":"Free boundary problems:","volume":"55 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90978013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Overview of Dynamical Simulations of the Flow of Suspensions of Liquid Capsules and Drops 液体胶囊和液滴悬浮液流动的动力学模拟综述
Free boundary problems: Pub Date : 2019-11-11 DOI: 10.1201/9780203755518-6
C. Pozrikidis
{"title":"Overview of Dynamical Simulations of the Flow of Suspensions of Liquid Capsules and Drops","authors":"C. Pozrikidis","doi":"10.1201/9780203755518-6","DOIUrl":"https://doi.org/10.1201/9780203755518-6","url":null,"abstract":"","PeriodicalId":12357,"journal":{"name":"Free boundary problems:","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75822986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Foundation of Ice Sheet and Ice Shelf Dynamics. A Physicist’s View 冰原和冰架动力学的数学基础。物理学家的观点
Free boundary problems: Pub Date : 2019-01-01 DOI: 10.1201/9780203755518-16
K. Hutter
{"title":"Mathematical Foundation of Ice Sheet and Ice Shelf Dynamics. A Physicist’s View","authors":"K. Hutter","doi":"10.1201/9780203755518-16","DOIUrl":"https://doi.org/10.1201/9780203755518-16","url":null,"abstract":"","PeriodicalId":12357,"journal":{"name":"Free boundary problems:","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73151317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Implications of Non-Monotonic Curvature-Dependence in the Propagation Speed of an Interface 非单调曲率依赖在界面传播速度中的意义
Free boundary problems: Pub Date : 2019-01-01 DOI: 10.1201/9780203755518-23
J. Dold, I. Athanasopoulos, M. Makrakis, JF Rodrigues
{"title":"Implications of Non-Monotonic Curvature-Dependence in the Propagation Speed of an Interface","authors":"J. Dold, I. Athanasopoulos, M. Makrakis, JF Rodrigues","doi":"10.1201/9780203755518-23","DOIUrl":"https://doi.org/10.1201/9780203755518-23","url":null,"abstract":"","PeriodicalId":12357,"journal":{"name":"Free boundary problems:","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73756178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Monotone Iterations for Elliptic Variational Inequalities 椭圆型变分不等式的单调迭代
Free boundary problems: Pub Date : 2019-01-01 DOI: 10.1201/9780203755518-30
R. Kornhuber
{"title":"Monotone Iterations for Elliptic Variational Inequalities","authors":"R. Kornhuber","doi":"10.1201/9780203755518-30","DOIUrl":"https://doi.org/10.1201/9780203755518-30","url":null,"abstract":"A wide range of free boundary problems occurring in engineering and industry can be rewritten as a minimization problem for a strictly convex, piecewise smooth but non–differentiable energy functional. The fast solution of related discretized problems is a very delicate question, because usual Newton techniques cannot be applied. We propose a new approach based on convex minimization and constrained Newton type linearization. While convex min- imization provides global convergence of the overall iteration, the subsequent constrained Newton type linearization is intended to accelerate the conver- gence speed. We present a general convergence theory and discuss several applications.","PeriodicalId":12357,"journal":{"name":"Free boundary problems:","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75261439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Exponential Transform and Regularity of Free Boundaries in Two Dimensions 二维自由边界的指数变换与正则性
Free boundary problems: Pub Date : 2019-01-01 DOI: 10.1201/9780203755518-11
Björn Gustafsson, M. Putinar
{"title":"An Exponential Transform and Regularity of Free Boundaries in Two Dimensions","authors":"Björn Gustafsson, M. Putinar","doi":"10.1201/9780203755518-11","DOIUrl":"https://doi.org/10.1201/9780203755518-11","url":null,"abstract":"We investigate the basic properties of the exponential transform E(z, w) = exp 7r 0 x dA(~) -) ) (z, w E C) of a domain Q c C and compute it in some simple cases. The main result states that if the Cauchy trans- form of the characteristic function of Q has an analytic continuation from C B S2 across aS2 then the same is true for E(z, w), in both variables. If F (z, w) de- notes this analytic-antianalytic continuation it follows that 8 Q is contained in a real analytic set, namely the zero set of F (z, z). This gives a new approach to the regularity theory for free boundaries in two dimensions.","PeriodicalId":12357,"journal":{"name":"Free boundary problems:","volume":"147 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82623992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 18
On a Degenerate System in Glaciology Giving Rise to a Free Boundary 关于冰川学中产生自由边界的退化系统
Free boundary problems: Pub Date : 2019-01-01 DOI: 10.1201/9780203755518-27
J. I. Díaz, E. Schiavi
{"title":"On a Degenerate System in Glaciology Giving Rise to a Free Boundary","authors":"J. I. Díaz, E. Schiavi","doi":"10.1201/9780203755518-27","DOIUrl":"https://doi.org/10.1201/9780203755518-27","url":null,"abstract":"","PeriodicalId":12357,"journal":{"name":"Free boundary problems:","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73623974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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