【114/11/13】16:20-17:10 李俊璋 教授(國立清華大學計算與建模科學研究所)
發佈日期 :
2025-10-28
| Colloquium | |
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| Time | 2025-11-13 16:20-17:10 |
| Venue | 數學館1樓3174教室 |
| Speaker | 李俊璋 教授(國立清華大學計算與建模科學研究所) |
| 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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