Existence and uniqueness of weak entropy solutions for nonlocal nonlinear scalar conservation laws is proven on short time horizons via fixed-point methods, extending to any finite horizon under additional assumptions.
A non-equilibrium traffic model devoid of gas-like behavior
2 Pith papers cite this work, alongside 721 external citations. Polarity classification is still indexing.
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The Aw–Rascle–Zhang continuum model on directed lattice networks yields power-law spatiotemporal congestion clusters with finite-size scaling by linear system size.
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Existence and uniqueness of nonlocal nonlinear conservation laws via fixed-point methods
Existence and uniqueness of weak entropy solutions for nonlocal nonlinear scalar conservation laws is proven on short time horizons via fixed-point methods, extending to any finite horizon under additional assumptions.
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Scale-free congestion clusters in large-scale traffic networks: a continuum modeling study
The Aw–Rascle–Zhang continuum model on directed lattice networks yields power-law spatiotemporal congestion clusters with finite-size scaling by linear system size.