Deterministic particle method for nonlinear nonlocal scalar balance equations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912115480068096 |
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| author | Radici, Emanuela Stra, Federico |
| author_facet | Radici, Emanuela Stra, Federico |
| contents | We study a deterministic particle scheme to solve a scalar balance equation with nonlocal interaction and nonlinear mobility used to model congested dynamics. The main novelty with respect to "Radici-Stra [SIAM J. Math. Anal. 55.3 (2023)]" is the presence of a source term; this causes the solutions to no longer be probability measures, thus requiring a suitable adaptation of the numerical scheme and of the estimates leading to compactness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07148 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deterministic particle method for nonlinear nonlocal scalar balance equations Radici, Emanuela Stra, Federico Analysis of PDEs Numerical Analysis 35L65, 35L03, 35L60, 65M75 We study a deterministic particle scheme to solve a scalar balance equation with nonlocal interaction and nonlinear mobility used to model congested dynamics. The main novelty with respect to "Radici-Stra [SIAM J. Math. Anal. 55.3 (2023)]" is the presence of a source term; this causes the solutions to no longer be probability measures, thus requiring a suitable adaptation of the numerical scheme and of the estimates leading to compactness. |
| title | Deterministic particle method for nonlinear nonlocal scalar balance equations |
| topic | Analysis of PDEs Numerical Analysis 35L65, 35L03, 35L60, 65M75 |
| url | https://arxiv.org/abs/2411.07148 |