Some remarks on well-posedness of the higher-dimensional chemorepulsion system
Volume 67 / 2019
Bulletin Polish Acad. Sci. Math. 67 (2019), 165-178
MSC: 35B45, 35K45, 92C17.
DOI: 10.4064/ba190324-4-6
Published online: 14 June 2019
Abstract
We consider a fully parabolic system of chemorepulsion in higher dimensions. We introduce a new energy-like identity and comment on its relation to the Li–Yau–Hamilton inequalities. Next, we show that for the chemorepellent moving much more slowly than the cells, the time global well-posedness holds.
