Sufficiently concentrated radial initial data cause finite-time blow-up in a parabolic-elliptic chemotaxis model with spatially heterogeneous diffusion sensitivity |x|^β.
Blow-up in a chemotaxis model without symmetry assumptions.European Journal of Applied Mathematics, 12(2):159–177
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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.