| Texto completo | |
| Autor(es): |
Abreu, Eduardo
;
De la Cruz, Richard
;
Lambert, Wanderson
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Mathematical Analysis and Applications; v. 502, n. 2, p. 30-pg., 2021-04-30. |
| Resumo | |
In this work, we study Riemann problems and delta-shock solutions for a nonsymmetric Keyfitz-Kranzer system with a Coulomb-like friction term or linear damping. We show the existence of an intricate delta-shock wave solution and its generalized Rankine-Hugoniot condition resulting from the analysis. In particular, we also show the existence of a shock wave solution satisfying the classical RankineHugoniot condition and the Lax shock condition, which is supported by the corresponding homogeneous Keyfitz-Kranzer system under investigation. Some numerical results exhibiting the formation process of delta-shocks are also presented, verifying the theory being presented. In particular, the robustness of the numerics is illustrated with a very interesting linear damping example, where we show a simulation of the cutoff time in which a delta-shock singular solution ceases to exist, and in fully agreement with the theoretical results. (c) 2021 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 19/20991-8 - Estudo de equações diferenciais parciais algébricas com dominância hiperbólica-parabólica com relaxamento: aspectos teóricos, numéricos e aplicações |
| Beneficiário: | Eduardo Cardoso de Abreu |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Brasil |