【114/11/13】16:20-17:10 Prof. Chiun-Chang Lee ( Institute of Computational and Modeling Science , National Tsing Hua University)
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| Time | 2025-11-13 16:20-17:10 |
| Venue | Mathtmatics Building 1F Classroom 3174 |
| Speaker | Prof. Chiun-Chang Lee ( Institute of Computational and Modeling Science , National Tsing Hua University) |
| Title | Asymptotics of Stationary Solutions to Keller-Segel Systems Arising in Chemotaxis |
| Abstract | In this talk, we introduce the stationary problem of the Keller-Segel system with Dirichlet boundary conditions, a model related to mathematical biology that describes boundary-layer formation driven by chemotaxis. We addresses a fundamental question: How does the geometry of a spatial domain influence the biological pattern formation near its boundary? Using the Fermi coordinates and asymptotic analysis, we establish a rigorous asymptotic expansion for the unique solution in the limit of the small diffusion rate. This result represents the first instance where the dependency of boundary-layer profiles in chemotaxis models on detailed domain geometry. This is a joint work with Sang-Hyuck Moon, Zhian Wang and Wen Yang. |
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