49 citations · 90 across the 8 of their papers we have counts for
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math.AP2017★ 9 cited
Boundedness of solutions to the critical fully parabolic quasilinear one-dimensional Keller-Segel system
Bartosz Bieganowski, Tomasz Cieślak, Kentarou Fujie +1
In this paper we consider a one-dimensional fully parabolic quasilinear Keller-Segel system with critical nonlinear diffusion. We show uniform-in-time boundedness of solutions, whi…
math.AP2017★ 1 cited
No critical nonlinear diffusion in 1D quasilinear fully parabolic chemotaxis system
Tomasz Cieślak, Kentarou Fujie
This paper deals with the fully parabolic 1d chemotaxis system with diffusion 1/(1 + u). We prove that the above mentioned nonlinearity, despite being a natural candidate, is not c…
math.AP2017
Global existence in the 1D quasilinear parabolic-elliptic chemotaxis system with critical nonlinearity
Tomasz Cieślak, Kentarou Fujie
The paper should be viewed as complement of an earlier result in [8]. In the paper just mentioned it is shown that 1d case of a quasilinear parabolic-elliptic Keller-Segel system i…