解析学火曜セミナー

過去の記録 ~05/01次回の予定今後の予定 05/02~

開催情報 火曜日 16:00~17:30 数理科学研究科棟(駒場) 156号室
担当者 石毛 和弘, 坂井 秀隆, 伊藤 健一
セミナーURL https://www.ms.u-tokyo.ac.jp/seminar/analysis/

2025年01月14日(火)

16:00-17:30   数理科学研究科棟(駒場) 128号室
対面・オンラインハイブリッド開催,場所にご注意ください
鈴木香奈子 氏 (茨城大学)
Existence and stability of discontinuous stationary solutions to reaction-diffusion-ODE systems (Japanese)
[ 講演概要 ]
We consider reaction-diffusion-ODE systems, which consists of a single reaction-diffusion equation coupled with ordinary differential equations. Such systems arise, for example, from modeling of interactions between cellular processes and diffusing growth factors.
Reaction-diffusion-ODE systems in a bounded domain with Neumann boundary condition may have two types of stationary solutions, regular and discontinuous. We can show that all regular stationary solutions are unstable. This implies that reaction-diffusion-ODE systems cannot exhibit spatial patterns, and possible stable stationary solutions must be singular or discontinuous. In this talk, we present sufficient conditions for the existence and stability of discontinuous stationary solutions.
This talk is based on joint works with A. Marciniak-Czochra (Heidelberg University), G. Karch (University of Wroclaw) and S. Cygan (University of Wroclaw).
[ 参考URL ]
https://forms.gle/GtA4bpBuy5cNzsyX8