PDE Seminar (2018/10/19): Boundedness of solutions to the Cauchy problem for an attractionrepulsion chemotaxis system
 Date

20181019 16:30 
20181019 17:30
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Toshitaka Nagai (Hiroshima University)

 We consider the Cauchy problem for an attractionrepulsion chemotaxis system in twodimensional space. The system consists of three partial differential equations; a driftdiffusion equation incorporating terms for both chemoattraction and chemorepulsion, and two elliptic equations. It is known that there is a blowingup 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.