28 citations · 62 across the 17 of their papers we have counts for
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math.AP2019★ 1 cited
Finite-time blow-up in a quasilinear degenerate chemotaxis system with flux limitation
Yuka Chiyoda, Masaaki Mizukami, Tomomi Yokota
This paper deals with the quasilinear degenerate chemotaxis system with flux limitation \begin{align*} \begin{cases} u_t = \nabla\cdot\left(\dfrac{u^p \nabla u}{\sqrt{u^2 + |\nabla…
math.AP2019
Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation
Masaaki Mizukami, Tatsuhiko Ono, Tomomi Yokota
This paper deals with the quasilinear degenerate chemotaxis system with flux limitation \begin{equation*} \begin{cases} u_t = \nabla\cdot\left(\dfrac{u^p \nabla u}{\sqrt{u^2 + |\na…
math.AP2019
Effect of nonlinear diffusion on a lower bound for the blow-up time in a fully parabolic chemotaxis system
Teruto Nishino, Tomomi Yokota
This paper deals with a lower bound for the blow-up time for solutions of the fully parabolic chemotaxis system \begin{equation*} \begin{cases} u_t=\nabla \cdot [(u+α)^{m_1-1} \nab…