Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911298201059328 |
|---|---|
| author | Campos, Juan García, Claudia Pulido, Carlos Soler, Juan |
| author_facet | Campos, Juan García, Claudia Pulido, Carlos Soler, Juan |
| contents | This paper investigates the existence of traveling--wave--type patterns in the Keller--Segel model with logarithmic sensitivity. We consider both the linear diffusion case and the nonlinear, flux-saturated diffusion of relativistic heat--equation type, providing a detailed comparison between the two regimes. Particular attention is devoted to traveling waves exhibiting compact support or support restricted to a half-line. We rigorously establish the existence of such patterns and highlight the qualitative differences arising from the choice of diffusion mechanism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_13480 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity Campos, Juan García, Claudia Pulido, Carlos Soler, Juan Analysis of PDEs 35A01, 335A15, 5B40, 35B44, 35C07, 35K57, 35K65, 35Q92, 92C17 This paper investigates the existence of traveling--wave--type patterns in the Keller--Segel model with logarithmic sensitivity. We consider both the linear diffusion case and the nonlinear, flux-saturated diffusion of relativistic heat--equation type, providing a detailed comparison between the two regimes. Particular attention is devoted to traveling waves exhibiting compact support or support restricted to a half-line. We rigorously establish the existence of such patterns and highlight the qualitative differences arising from the choice of diffusion mechanism. |
| title | Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity |
| topic | Analysis of PDEs 35A01, 335A15, 5B40, 35B44, 35C07, 35K57, 35K65, 35Q92, 92C17 |
| url | https://arxiv.org/abs/2102.13480 |