日時: 2026年2月21日 (土) 15:00-15:30
場所: 京都教育大学 1A402教室
講演者: 柴田 旺典 氏（東京理科大学大学院）
題目: Existence and uniqueness of global weak solutions to volume-filling chemotaxis systems
We consider a no-flux initial-boundary value problem for the degenerate volume-filling chemotaxis system with diffusion and chemotactic sensitivity depending on cell densities and signal concentration. We first prove that there exists a global weak solution. Second, under some additional conditions, we show uniqueness of global weak solutions with the mass conservation law. Moreover, we construct a flat-hump-shaped stationary solution in the one-dimensional setting. These results extend the ones in Laurencot-Wrzosek (2005), where they studied a related problem with diffusion and chemotactic sensitivity depending only on cell densities.