ON 2 x 2 CONSERVATION LAWS AT A JUNCTION

Colombo RM; Herty M; Sachers V

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ON 2 x 2 CONSERVATION LAWS AT A JUNCTION

机译：某一时刻的2 x 2守恒律

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This paper deals with 2 x 2 conservation laws at a junction. For the Cauchy problem, existence, uniqueness, and Lipschitz continuous dependence of the solution from the initial data as well as from the conditions at the junction are proved. The present construction comprehends the case of the p-system used to describe gas flow in networks and hereby unifies different approaches present in the literature. Furthermore, different models for water networks are considered.

机译：本文涉及交点处的2 x 2守恒律。对于柯西问题，从初始数据以及交界处的条件证明了解的存在性，唯一性和Lipschitz连续依赖性。本构造理解了用于描述网络中气体流动的p系统的情况，从而统一了文献中存在的不同方法。此外，考虑了不同的供水网络模型。

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《SIAM Journal on Mathematical Analysis》 |2008年第2期|共18页
作者
Colombo RM; Herty M; Sachers V;
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正文语种 eng
中图分类数学分析;
关键词
hyperbolic systems of conservation laws; p-system; St. Venant equations; RIEMANN SEMIGROUP; GAS-FLOW; NETWORKS; SIMULATION; STABILITY;

机译：守恒律的双曲系统;p系统;圣Venant方程;RIEMANN SEMIGROUP;GAS-FLOW;网络;模拟;稳定性;

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1. ON THE OPTIMIZATION OF CONSERVATION LAW MODELS AT A JUNCTION WITH INFLOW AND FLOW DISTRIBUTION CONTROLS [J] . Ancona Fabio, Cesaroni Annalisa, Coclite Giuseppe M., SIAM Journal on Control and Optimization . 2018,第5期

机译：论流入和流量分布控制交界处的守恒法模型的优化
2. DISCUSSION ABOUT TRAFFIC JUNCTION MODELLING: CONSERVATION LAWS VS HAMILTON-JACOBI EQUATIONS [J] . Guillaume Costeseque, Jean-Patrick Lebacque Discrete and continuous dynamical systems . 2014,第3期

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3. ON 2 x 2 CONSERVATION LAWS AT A JUNCTION [J] . R. M. COLOMBO, M. HERTY, V. SACHERS SIAM Journal on Mathematical Analysis . 2009,第2期

机译：某一时刻的2 x 2守恒律
4. Preliminary Discussion on Implementation of New "Law of Water and Soil Conservation" in Supervision of Soil and Water Conservation in the Yellow River Basin [C] . Zhang Laizhang, Gao Jinghui, Dang Weiqin International Yellow River forum on ensuring water right of the river's demand and healthy river basin maintenance;Ministry of Water Resources;China Yellow River Foundation . 2012

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7. On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls [O] . Fabio Ancona, Annalisa Cesaroni, Giuseppe M. Coclite, 2018

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8. Energy Policy and Conservation Act (Public Law 94-163) as Amended by the National Energy Conservation Policy Act (Public Law 95-619) and the National Appliance Energy Conservation Act (Public Law 100-12): Title 10, Energy, Chapter [R] . Williams, T. A., Dirks, J. A., Brown, D. R., 1988

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ON 2 x 2 CONSERVATION LAWS AT A JUNCTION

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