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Conservation Laws with Unilateral Constraints in Traffic Modeling

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Figure

Fig. 1. Left, a flow satisfying the requirements of Theorem 2.2. Superimposed are the experimental measurements from [16]
Fig. 2. Left, the function ψ: its geometrical meaning. Right, the Riemann Solver: in C, the solution consists of classical waves only; in N , also nonclassical shocks are present.
Fig. 3. A toll gate sited at x = 1.
Fig. 4. Numerical integrations of (2.3) using Rusanov scheme, with f (ρ) = ρ (1 − ρ);
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