| Full text | |
| Author(s): |
Abreu, Eduardo
;
De la Cruz, Richard
;
Lambert, Wanderson
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 502, n. 2, p. 30-pg., 2021-04-30. |
| Abstract | |
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) | |
| 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 |