A well posed conservation law with a variable unilateral constraint

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Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result (2014, background): “[1, 9, 8], see also [15] for an extension to systems.”
The Aw–Rascle traffic model with locally constrained flow (2010, background): “2) were first introduced in [7], see also [1, 8, 9] for further analytical results and applications.”
On the modelling and management of traffic (2011, methodology): “Refer to [11] for a discussion of the nonclassical, or non entropic, shocks that may arise at xc due to the presence of the constraint.”