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

页码：135 / 149

页数：15

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