| Wednesday, 06.03.2024 | |
| Type | seminar in the framework of the PDE Afternoon |
| Time | 14:00 - 14:45 |
| Place | University of Vienna, Faculty of Mathematics, Oskar-Morgenstern-Platz 1, Vienna (map) |
| Room | HS 2, ground floor - how to get there |
| Speaker | (Auburn University, USA) |
| Title | Well-Posedness, Stability, and Bifurcation for Keller-Segel Models on Compact Graphs |
| Abstract | In this talk, we will discuss the Keller-Segel model describing various chemotaxis processes. The system of PDEs in question is a pair of reaction-advection-diffusion equations of parabolic and elliptic type. The first part of the talk concerns well-posedness of this system on arbitrary compact metric graphs. In the second part of the talk, we will focus on asymptotic stability, instability, and bifurcation of constant steady state solutions of the parabolic-parabolic and parabolic-elliptic chemotaxis models. This is joint work with Hewan Shemtaga (Auburn) and Wenxian Shen (Auburn). |
| Notes | This event takes place in hybrid form (in person and online on Zoom). Slides and additional materials are available on the Moodle service of the University of Vienna. If you want to participate, please write an email to matteo.tommasini@univie.ac.at. Further details are available at this link. |
| Attachment | link |
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