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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.11507 |
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| _version_ | 1866913356818939904 |
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| author | De la cruz, Richard Neves, Wladimir |
| author_facet | De la cruz, Richard Neves, Wladimir |
| contents | In this paper, we study the Riemann solutions for two systems: the nonsymmetric Keyfitz-Kranzer system and the pressureless system, both of which have a time-dependent Coulomb-like friction term. Our analysis identified two types of Riemann solutions: contact discontinuities and delta-shock solutions. We obtain generalized Rankine-Hugoniot conditions, which is the support for constructing the delta-shock solution for the nonsymmetric Keyfitz-Kranzer system with a time-dependent Coulomb-like friction term. Furthermore, we demonstrate that as the pressure tends to zero, the Riemann solutions of the nonsymmetric Keyfitz-Kranzer system converge to those of the pressureless system, with both systems incorporating a time-dependent Coulomb-like friction term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11507 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Riemann problem for a nonsymmetric Keyfitz-Kranzer and pressureless gas systems with a time-dependent Coulomb-like friction term De la cruz, Richard Neves, Wladimir Analysis of PDEs In this paper, we study the Riemann solutions for two systems: the nonsymmetric Keyfitz-Kranzer system and the pressureless system, both of which have a time-dependent Coulomb-like friction term. Our analysis identified two types of Riemann solutions: contact discontinuities and delta-shock solutions. We obtain generalized Rankine-Hugoniot conditions, which is the support for constructing the delta-shock solution for the nonsymmetric Keyfitz-Kranzer system with a time-dependent Coulomb-like friction term. Furthermore, we demonstrate that as the pressure tends to zero, the Riemann solutions of the nonsymmetric Keyfitz-Kranzer system converge to those of the pressureless system, with both systems incorporating a time-dependent Coulomb-like friction term. |
| title | Riemann problem for a nonsymmetric Keyfitz-Kranzer and pressureless gas systems with a time-dependent Coulomb-like friction term |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.11507 |