Mixed systems: ODEs - Balance laws

被引：46

作者：

Borsche, Raul ^{[2
]}

Colombo, Rinaldo M. ^{[3
]}

Garavello, Mauro ^{[1
]}

机构：

[1] Univ Piemonte Orientate, DiSTA, Alessandria, Italy

[2] Tech Univ Kaiserslautern, Fachbereich Math, Kaiserslautern, Germany

[3] Univ Brescia, Dipartimento Matemat, Brescia, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 03期

关键词：

Mixed POE-ODE problems; Conservation laws; Ordinary differential equations; CONSERVATION-LAWS; BLOOD-FLOW; CONTINUOUS DEPENDENCE; TRAFFIC FLOW; BOUNDARY; MODEL;

D O I：

10.1016/j.jde.2011.08.051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the well posedness of mixed problems consisting of a system of ordinary differential equations coupled with systems of balance laws in domains with moving boundaries. The interfaces between the systems are provided by the boundary data and boundary positions. Various situations that fit into this framework are studied, both analytically and numerically. We consider a piston moving in a pipe full of fluid, a model for fluid-particle interaction and a traffic model. References to other examples in the literature are provided. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2311 / 2338

页数：28

共 20 条

[1]

Alastruey J, 2008, COMMUN COMPUT PHYS, V4, P317

[2] Uniqueness and continuous dependence for systems of balance laws with dissipation [J].