Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry

Han Daozhi; Wang Xiaoming; Wu Hao

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Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry

机译：岩溶几何中两相不可压缩流Cahn-Hilliard-Stokes-Darcy系统整体弱解的存在性和唯一性

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摘要

We study the well-posedness of a coupled Cahn-Hilliard-Stokes-Darcy system which is a diffuse-interface model for essentially immiscible two phase incompressible flows with matched density in a karstic geometry. Existence of finite energy weak solution that is global in time is established in both 2D and 3D. Weak strong uniqueness property of the weak-solutions is provided as well. (C) 2014 Elsevier Inc. All rights reserved.

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《Journal of Differential Equations》 |2014年第10期|共47页
作者
Han Daozhi; Wang Xiaoming; Wu Hao;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
Cahn-Hilliard-Stokes-Darcy system; Two phase flow; Karstic geometry; Interface boundary conditions; Diffuse-interface model; Well-posedness;

机译：Cahn-Hilliard-Stokes-Darcy系统;两相流;岩溶几何;界面边界条件;扩散界面模型;适体性;

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1. Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry [J] . Han Daozhi, Wang Xiaoming, Wu Hao Journal of Differential Equations . 2014,第10期

机译：岩溶几何中两相不可压缩流Cahn-Hilliard-Stokes-Darcy系统整体弱解的存在性和唯一性
2. Global existence of weak solutions for a nonlocal model for two-phase flows of incompressible fluids with unmatched densities [J] . Frigeri Sergio Mathematical models and methods in applied sciences . 2016,第10期

机译：具有不可比拟密度的不可压缩流体两相流非局部模型的弱解的整体存在
3. Degenerate two-phase incompressible flow I. Existence, uniqueness and regularity of a weak solution [J] . Chen ZX. Journal of Differential Equations . 2001,第2期

机译：退化的两相不可压缩流I.弱解的存在性，唯一性和规则性
4. Global existence and uniqueness of solutions to a nonlocal phase-field system [C] . Feter W.Bates, Fengxin Chen, Junping Wang US-Chinese Conference on Differential Equations and Applications held in Hangzhou, June 24-29, 1996 . 1996

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5. THE GEOMETRY OF BICHARACTERISTICS AND THE GLOBAL EXISTENCE OF HOLOMORPHIC SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS [D] . Takei, Yoshitsugu 1990

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7. Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry [O] . Han, Daozhi, Wang, Xiaoming, WU, Hao 2014

机译：全球弱势解决方案的存在性和唯一性 Cahn-Hilliard-stokes-Darcy系统用于两相不可压缩流动岩溶几何

Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry

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