Switched hyperbolic balance laws and differential algebraic equations

被引：0
作者：
Borsche, Raul [1 ]
Garavello, Mauro [2 ]
Kocoglu, Damla [1 ]
机构：
[1] Tech Univ Kaiserslautern, Fachbereich Math, Erwin Schrodinger Str, D-67663 Kaiserslautern, Germany
[2] Univ Milano Bicocca, Dept Math & its Applicat, Via R Cozzi 55, I-20125 Milan, Italy
来源：
ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2023年 / 2023卷 / 01期
关键词：
Balance laws; Differential algebraic equations; Switched system; Well-posedness; BOUNDARY VALUE-PROBLEMS; CONSERVATION-LAWS; MULTISCALE MODEL; SYSTEMS; ODES;
D O I：
10.1186/s13662-023-03764-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by several applications, we investigate the well-posedness of a switched system composed by a system of linear hyperbolic balance laws and by a system of linear algebraic differential equations. This setting includes networks and looped systems of hyperbolic balance laws. The obtained results are globally in time, provided that the inputs have finite (but not necessarily small) total variation.
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页数：31
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