Weprovethewell-posednessofentropyweaksolutionsforaclassofspace-discontinuous scalar conservation laws with nonlocal flux. We approximate the problem adding a viscosity term and we provide L∞ 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.

Nonlocal scalar conservation laws with discontinuous flux / Chiarello, Felisia Angela; Coclite, Giuseppe Maria. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - STAMPA. - 18:1(2022), pp. 380-398. [10.3934/nhm.2023015]

Nonlocal scalar conservation laws with discontinuous flux

Coclite, Giuseppe Maria
2022-01-01

Abstract

Weprovethewell-posednessofentropyweaksolutionsforaclassofspace-discontinuous scalar conservation laws with nonlocal flux. We approximate the problem adding a viscosity term and we provide L∞ 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.
2022
Nonlocal scalar conservation laws with discontinuous flux / Chiarello, Felisia Angela; Coclite, Giuseppe Maria. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - STAMPA. - 18:1(2022), pp. 380-398. [10.3934/nhm.2023015]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/246460
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