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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.)

Interaction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation laws

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Author(s):
De la Cruz, Richard [1] ; Santos, Marcelo [2] ; Abreu, Eduardo [3]
Total Authors: 3
Affiliation:
[1] Univ Pedag & Tecnol Colombia, Sch Math & Stat, Tunja 150003 - Colombia
[2] Univ Campinas UNICAMP, Dept Math, IMECC, BR-13083859 Campinas, SP - Brazil
[3] Univ Campinas UNICAMP, Dept Appl Math, IMECC, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: MONATSHEFTE FUR MATHEMATIK; v. 194, n. 4 FEB 2021.
Web of Science Citations: 0
Abstract

In this work, the mechanism for the formation of the delta shock wave is analyzed to deal with interaction of delta shock waves and contact discontinuities for a system of Keyfitz-Kranzer type by means of analysis and solutions of Riemann problems. A set of numerical experiments are provided, illustrating the theoretical findings numerically. A brief survey of the Keyfitz-Kranzer systems as a base model of fundamental nonlinear phenomena in applications is provided aiming to shed light on the intricate wave structure for other related models of conservation laws appearing in applied sciences. (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
FAPESP's process: 19/20991-8 - Study of partial differential algebraic equations of hyperbolic-parabolic dominance with relaxation: theory, numerics and applications
Grantee:Eduardo Cardoso de Abreu
Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil