Sufficiently concentrated radial initial data cause finite-time blow-up in a parabolic-elliptic chemotaxis model with spatially heterogeneous diffusion sensitivity |x|^β.
A blow-up result for a quasilinear chemotaxis system with logistic source in higher dimensions.Journal of Mathematical Analysis and Applica- tions, 464(1):435–455
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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.