Non Local Hyperbolic Dynamics of Clusters
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909347790979072 |
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| author | Colombo, Rinaldo M. Garavello, Mauro |
| author_facet | Colombo, Rinaldo M. Garavello, Mauro |
| contents | The formation, movement and gluing of clusters can be described through a system of non local balance laws. Here, the well posedness of this system is obtained, as well as various stability estimates. Remarkably, qualitative properties of the solutions are proved, providing information on stationary solutions and on the propagation speed. In some cases, fragmentation leads to clusters developing independently.
Moreover, these equations may serve as an encryption/decryption tool. This poses new analytical problems and asks for improved numerical methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10507 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non Local Hyperbolic Dynamics of Clusters Colombo, Rinaldo M. Garavello, Mauro Analysis of PDEs 35L65, 91C20 The formation, movement and gluing of clusters can be described through a system of non local balance laws. Here, the well posedness of this system is obtained, as well as various stability estimates. Remarkably, qualitative properties of the solutions are proved, providing information on stationary solutions and on the propagation speed. In some cases, fragmentation leads to clusters developing independently. Moreover, these equations may serve as an encryption/decryption tool. This poses new analytical problems and asks for improved numerical methods. |
| title | Non Local Hyperbolic Dynamics of Clusters |
| topic | Analysis of PDEs 35L65, 91C20 |
| url | https://arxiv.org/abs/2410.10507 |