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arXiv · 2003.01975

Non-local scalar conservation laws with discontinuous flux

Felisia Angela Chiarello·Giuseppe Maria Coclite
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Abstract

We prove the well-posedness of entropy weak solutions for a class of space-discontinuous scalar conservation laws with non-local flux arising in traffic modeling. We approximate the problem adding a viscosity term and we provide $L^\infty$ and BV estimates for the approximate solutions. We use the doubling of variable technique to prove the stability with respect to the initial data from the entropy condition.

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Felisia Angela Chiarello, Giuseppe Maria Coclite. 2020-03-04. Non-local scalar conservation laws with discontinuous flux. https://arxiv.org/abs/2003.01975

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