Laminar-turbulent reactive flows in porous media

被引：0

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：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2016年 / 47卷 / 01期

关键词：

Riemann problem; phase transitions; hyperbolic conservation laws; NONLINEAR BALANCE LAW; TRAVELING-WAVES; PHASE-TRANSITIONS; MODEL; EXISTENCE;

D O I：

10.1007/s00574-016-0137-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We state some recent results concerning liquid-vapor phase transitions for a fluid flow through a porousmedium. The focus is on the friction exerted by the porous medium, which is modeled in such a way to include both laminar and turbulent flows. In this way we obtain a hyperbolic system of three balance laws with a forcing term that is discontinuous in the state variables. Existence, uniqueness and qualitative behavior of traveling waves is proved by a novel regularization technique.

引用

页码：267 / 276

页数：10

共 16 条

[1] Godunov-type approximation for a general resonant balance law with large data [J].