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
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Numerical simulations of the Aw-Rascle-Zhang model on lattice networks produce scale-free congestion clusters with power-law size distributions and finite-size scaling.
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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
Numerical simulations of the Aw-Rascle-Zhang model on lattice networks produce scale-free congestion clusters with power-law size distributions and finite-size scaling.