Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913933616480256 |
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| author | Ali, Mashkoor Laurençot, Philippe |
| author_facet | Ali, Mashkoor Laurençot, Philippe |
| contents | Global existence of mild solutions to the discrete collisional breakage equations is established for a broad class of collision kernels, without imposing any growth assumptions. In addition, classical solutions are constructed, and uniqueness is proved for an appropriate class of kinetic coefficients and initial data. The large time behavior of solutions is also discussed, and numerical simulations are presented to support the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06685 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer Ali, Mashkoor Laurençot, Philippe Classical Analysis and ODEs Global existence of mild solutions to the discrete collisional breakage equations is established for a broad class of collision kernels, without imposing any growth assumptions. In addition, classical solutions are constructed, and uniqueness is proved for an appropriate class of kinetic coefficients and initial data. The large time behavior of solutions is also discussed, and numerical simulations are presented to support the theoretical results. |
| title | Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2507.06685 |