Global solutions of a Keller--Segel system with saturated logarithmic sensitivity function

الأصل · EN

We study a Keller-Segel type chemotaxis model with a modified sensitivity function in a bounded domain Ω⊂ Rⁿ, N≥2. The global existence of classical solutions to the fully parabolic system is established provided that the ratio of the chemotactic coefficient to the motility of cells is not too large.