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Harmonic Analysis and Differential Equations Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
Altgeld Hall 145
Date
Oct 22, 2024   1:00 pm  
Speaker
Selim Sukhtaiev
Contact
Carrie Clark and Olivia Clifton
E-Mail
carriec2@illinois.edu and ocannon2@illinois.edu
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Originating Calendar
Harmonic Analysis and Differential Equations Seminar (HADES)

Speaker: Selim Sukhtaiev (Auburn University)

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 will center around 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 steady state solutions of parabolic-parabolic and parabolic-elliptic chemotaxis models. This is joint work with Hewan Shemtaga (Auburn) and Wenxian Shen (Auburn).

Lunch: before the talk at 12pm at Shawarma Joint.

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