Boundary effect on asymptotic behaviour of solution to the hyperbolic-parabolic chemotaxis system
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866918147154509824 |
|---|---|
| author | Zhang, Nangao |
| author_facet | Zhang, Nangao |
| contents | This paper is concerned with the global existence and stability of solution to the quasi linear hyperbolic-parabolic chemotaxis system on the half-line,which was proposed in[1] to primarily
describe the formation of coherent vascular networks observed invitro experiment. Under two diffrent
boundary conditions,we first establish the existence and uniqueness of the solution of the asymptotic
state equation (the so-called nonlinear diffusion wave),and then prove that the solution of the original
equation is nonlinearly asymptotically stable. Additionally,we obtain the convergence rates for both
types of boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19828 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary effect on asymptotic behaviour of solution to the hyperbolic-parabolic chemotaxis system Zhang, Nangao Analysis of PDEs This paper is concerned with the global existence and stability of solution to the quasi linear hyperbolic-parabolic chemotaxis system on the half-line,which was proposed in[1] to primarily describe the formation of coherent vascular networks observed invitro experiment. Under two diffrent boundary conditions,we first establish the existence and uniqueness of the solution of the asymptotic state equation (the so-called nonlinear diffusion wave),and then prove that the solution of the original equation is nonlinearly asymptotically stable. Additionally,we obtain the convergence rates for both types of boundary conditions. |
| title | Boundary effect on asymptotic behaviour of solution to the hyperbolic-parabolic chemotaxis system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.19828 |