Time-varying Riemann solvers for conservation laws on networks

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:247

Article

Garavello, Mauro¹  Piccoli, Benedetto² 

[1] Univ Piemonte Orientale, Dipartimento Sci & Tecnol Avanzate, I-15100 Alessandria, Italy

[2] IAC CNR, I-00161 Rome, Italy

关键词: Scalar conservation laws;    Traffic flow;    Riemann solvers;    Wave-front tracking;    Control problems;   

DOI  :  10.1016/j.jde.2008.12.017

来源: Elsevier

【 摘 要 】

We consider a conservation law on a network and generic Riemann solvers at nodes depending on parameters, which can be seen as control functions. Assuming that the parameters have bounded variation as functions of time, we prove existence Of Solutions to Cauchy problems on the whole network. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free