2018年10月19日 16時30分 ～ 2018年10月19日 17時30分
永井 敏隆 氏 (広島大学)
We consider the Cauchy problem for an attraction-repulsion chemotaxis system in two-dimensional space. The system consists of three partial differential equations; a drift-diffusion equation incorporating terms for both chemoattraction and chemorepulsion, and two elliptic equations. It is known that there is a blowing-up solution in finite time to the Cauchy problem in the attractive dominant case where the coefficient of the attractant is larger than that of the repellent.
In this talk, we discuss the boundedness of nonnegative solutions to the Cauchy problem.
世話人：黒田 紘敏、浜向 直