2 × 2守恒定律双曲系统的熵解的反馈镇定

IF 2.3 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-07-18 DOI:10.1016/j.matpur.2025.103774

Giuseppe Maria Coclite , Nicola De Nitti , Mauro Garavello , Francesca Marcellini

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引用次数: 0

摘要

我们考虑了星形网络上欧拉坐标系下的p系统。在交界处适当的传输条件和外部顶点处的耗散边界条件下，我们证明了系统的熵解是指数稳定的。我们的证明扩展了Coron等人（2017）的策略，并基于一种用于构建近似分段常数解的前跟踪算法，该解的BV规范通过合适的指数加权glimm型Lyapunov泛函来控制。

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Feedback stabilization for entropy solutions of a 2 × 2 hyperbolic system of conservation laws at a junction

We consider the p-system in Eulerian coordinates on a star-shaped network. Under suitable transmission conditions at the junction and dissipative boundary conditions at the exterior vertices, we show that the entropy solutions of the system are exponentially stabilizable. Our proof extends the strategy by Coron et al. (2017) and is based on a front-tracking algorithm used to construct approximate piecewise constant solutions whose BV norms are controlled through a suitable exponentially-weighted Glimm-type Lyapunov functional.

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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.

2 × 2守恒定律双曲系统的熵解的反馈镇定

摘要

2 × 2守恒定律双曲系统的熵解的反馈镇定