On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls
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Publication:4683911
DOI10.1137/18M1176233zbMath1403.35166arXiv1803.07142OpenAlexW2894281061WikidataQ129245144 ScholiaQ129245144MaRDI QIDQ4683911
Annalisa Cesaroni, Giuseppe Maria Coclite, Fabio Ancona, Mauro Garavello
Publication date: 26 September 2018
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.07142
Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Weak solutions to PDEs (35D30) Initial value problems for nonlinear first-order PDEs (35F25) PDEs in connection with control and optimization (35Q93) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (6)
On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods ⋮ Unnamed Item ⋮ Global Weak Solutions to the Cauchy Problem for a Two-Phase Model at a Node ⋮ Vanishing viscosity for traffic on networks with degenerate diffusivity ⋮ Attainable profiles for conservation laws with flux function spatially discontinuous at a single point ⋮ On the Global Controllability of Scalar Conservation Laws with Boundary and Source Controls
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