Propagation of chaos and hydrodynamic description for topological models
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910663559872512 |
|---|---|
| author | Benedetto, Dario Paul, Thierry Rossi, Stefano |
| author_facet | Benedetto, Dario Paul, Thierry Rossi, Stefano |
| contents | In this work, we study the deterministic Cucker-Smale model with topological interaction. Focusing on the solutions of the corresponding Liouville equation, we show that propagation of chaos holds. Moreover, considering monokinetic solutions, we also obtain a rigorous derivation of the hydrodynamic description given by a pressureless Euler-type system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00998 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Propagation of chaos and hydrodynamic description for topological models Benedetto, Dario Paul, Thierry Rossi, Stefano Analysis of PDEs 35Q92, 35Q83, 82B40 In this work, we study the deterministic Cucker-Smale model with topological interaction. Focusing on the solutions of the corresponding Liouville equation, we show that propagation of chaos holds. Moreover, considering monokinetic solutions, we also obtain a rigorous derivation of the hydrodynamic description given by a pressureless Euler-type system. |
| title | Propagation of chaos and hydrodynamic description for topological models |
| topic | Analysis of PDEs 35Q92, 35Q83, 82B40 |
| url | https://arxiv.org/abs/2308.00998 |