%0 Journal Article %T Blow up of solutions to generalized Keller--Segel model %A Piotr Biler %A Grzegorz Karch %J Mathematics %D 2008 %I arXiv %X The existence and nonexistence of global in time solutions is studied for a class of equations generalizing the chemotaxis model of Keller and Segel. These equations involve L\'evy diffusion operators and general potential type nonlinear terms. %U http://arxiv.org/abs/0812.4982v1