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(2023), pp. 380-398. [10.3934/nhm.2023015]
Nonlocal scalar conservation laws with discontinuous flux
Coclite, Giuseppe Maria
2023-01-01
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.File in questo prodotto:
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