| Strong （Weak） Exact Controllability and Strong （Weak） Exact Observability for Quasilinear Hyperbolic Systems |
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| 作者姓名： | Jie SHEN Xiaofeng YANG |
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| 作者单位： | Tatsien LI(School of Mathematical Sciences, Fudan University, Shanghai 200433, China;Shanghai Key Laboratory for Contemporary Applied Mathematics;Nonlinear Mathematical Modeling and Methods Laboratory);Bopeng RAO(Institut de Recherche Mathématique Avancée, Université de Strasbourg, 67084 Strasbourg, France) |
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| 基金项目： | Project supported by the National Science Foundation （No. DMS-0915066） |
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| 摘 要： | Numerical approximations of Cahn-Hilliard phase-field model for the two-phase incompressible flows are considered in this paper.Several efficient and energy stable time discretization schemes for the coupled nonlinear Cahn-Hilliard phase-field system for both the matched density case and the variable density case are constructed,and are shown to satisfy discrete energy laws which are analogous to the continuous energy laws.
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| 关 键 词： | 不可压缩流 能源计划 流动模型 稳定 位场 d相 非线性时间 数值逼近 |
Energy Stable Schemes for Cahn-Hilliard Phase-Field
Model of Two-Phase Incompressible Flows |
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| Jie SHEN,Xiaofeng YANG.Energy Stable Schemes for Cahn-Hilliard Phase-Field
Model of Two-Phase Incompressible Flows[J].Chinese Annals of Mathematics,Series B,2010,31(5):743-758. |
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| Authors: | Jie SHEN and Xiaofeng YANG |
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| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;Shanghai Key Laboratory for Contemporary Applied Mathematics;Nonlinear Mathematical Modeling and Methods Laboratory
2. Institut de Recherche Mathématique Avancée, Université de Strasbourg, 67084 Strasbourg, France |
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| Abstract: | In this paper, the authors define the strong (weak) exact boundary controllability and the strong (weak) exact boundary observability for first order quasilinear hyperbolic systems, and study their properties and the relationship between them. |
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| Keywords: | Strong (weak) exact boundary controllability Strong (weak) exact boundary observability First order quasilinear hyperbolic system |
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