Boundedness of large-time solutions to a chemotaxis model with nonlocal and semilinear flux
Boundedness of large-time solutions to a chemotaxis model with nonlocal and semilinear flux
A semilinear version of parabolic-elliptic Keller--Segel system with the \emph{critical} nonlocal diffusion is considered in one space dimension. We show boundedness of weak solutions under very general conditions on our semilinearity. It can degenerate, but has to provide a stronger dissipation for large values of a solution than in the …