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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Delta shock waves for a system of Keyfitz-Kranzer type

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Author(s):
De la cruz, Richard [1] ; Santos, Marcelo [2]
Total Authors: 2
Affiliation:
[1] Univ Pedag & Tecnol Colombia, Sch Math & Stat, Av Cent Norte, Tunja 39115, Boyaca - Colombia
[2] Univ Estadual Campinas, Inst Math Stat & Sci Comp IMECC, UNICAMP, Rua Sergio Buarque de Holanda 651, Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK; v. 99, n. 3 MAR 2019.
Web of Science Citations: 1
Abstract

This paper is concerned with a hyperbolic system of conservation laws of Keyfitz-Kranzer type. We show the existence of a delta shock wave solution using the vanishing viscosity method. The obtained solution satisfies the generalized Rankine-Hugoniot relation and the entropy condition. As a consequence, we have also a uniqueness result for the obtained solution. (AU)

FAPESP's process: 16/19502-4 - Delta shock waves for some general 2x2 system of conservation laws
Grantee:Richard Alexander de La Cruz Guerrero
Support Opportunities: Scholarships in Brazil - Post-Doctoral