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.File in questo prodotto:
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2020-Benyahia-Rosini-Lack_of_BV_bounds.pdf
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