Sufficiently concentrated radial initial data cause finite-time blow-up in a parabolic-elliptic chemotaxis model with spatially heterogeneous diffusion sensitivity |x|^β.
Finite time blow-up for a one-dimensional quasilin- ear parabolic–parabolic chemotaxis system.Annales de l’Institut Henri Poincar´ e C, Analyse non lin´ eaire, 27(1):437–446
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Finite-time blow-up in a class of chemotaxis systems with spatially heterogeneous diffusion sensitivity
Sufficiently concentrated radial initial data cause finite-time blow-up in a parabolic-elliptic chemotaxis model with spatially heterogeneous diffusion sensitivity |x|^β.