Traveling waves in porous media with phase-dependent damping

被引：1
|
作者：
Corli, Andrea [1 ]
Fan, Haitao [2 ]
机构：
[1] Univ Ferrara, Dept Math & Comp Sci, I-44121 Ferrara, Italy
[2] Georgetown Univ, Dept Math, Washington, DC 20057 USA
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 19卷
关键词：
Traveling waves; Phase transitions; Porous media; Hyperbolic systems of balance laws; HYPERBOLIC CONSERVATION-LAWS; GLOBAL EXISTENCE; SMOOTH SOLUTIONS; MODEL; SYSTEM; FLOW;
D O I：
10.1016/j.nonrwa.2014.03.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a simple model for the fluid flow in a porous medium. The model consists of a hyperbolic system of balance laws, which take into account phase changes and allow for metastable states thanks to the introduction of an equilibrium pressure. A damping term is included as well, which depend not only on the velocity but also on the phase of the fluid; in particular, it vanishes in the vapor phase. The existence and uniqueness of traveling waves is proved in several important cases. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：135 / 149
页数：15
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