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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.
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