The nonlocal generalized Aw-Rascle-Zhang traffic system has unique local-in-time solutions, and for exponential averaging kernels these solutions converge to the entropy-admissible solution of the local GARZ model as the kernel approaches a Dirac delta.
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Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit
The nonlocal generalized Aw-Rascle-Zhang traffic system has unique local-in-time solutions, and for exponential averaging kernels these solutions converge to the entropy-admissible solution of the local GARZ model as the kernel approaches a Dirac delta.