We consider wave-front tracking approximate solutions (Formula presented.) to a two-phase transition model for vehicular traffic. We construct an explicit example showing that the total variation in space of (Formula presented.) may blow up in finite time for (Formula presented.) even for an initial datum with bounded total variation.

Lack of BV bounds for approximate solutions to a two-phase transition model arising from vehicular traffic

Rosini M. D.
Co-primo
2020

Abstract

We consider wave-front tracking approximate solutions (Formula presented.) to a two-phase transition model for vehicular traffic. We construct an explicit example showing that the total variation in space of (Formula presented.) may blow up in finite time for (Formula presented.) even for an initial datum with bounded total variation.
2020
Aw-Rascle-Zhang model; Conservation laws; Lighthill-Whitham-Richards model; phase transitions; point constraint on the density flux; wave-front tracking
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2427493
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