3 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic chemotaxis system with logistic source and nonlinear production
Yuya Tanaka
This paper deals with the quasilinear parabolic-elliptic chemotaxis system with logistic source and nonlinear production, \begin{equation*} \begin{cases} u_t=\nabla \cdot (D(u) \na…
Blow-up phenomena in a parabolic-elliptic-elliptic attraction-repulsion chemotaxis system with superlinear logistic degradation
Yutaro Chiyo, Monica Marras, Yuya Tanaka +1
This paper is concerned with the attraction-repulsion chemotaxis system with superlinear logistic degradation, \begin{align*} \begin{cases} u_t = Δu - χ\nabla\cdot(u \nabla v) + ξ\…
Blow-up in a quasilinear parabolic-elliptic Keller-Segel system with logistic source
Yuya Tanaka
This paper deals with the quasilinear parabolic-elliptic Keller-Segel system with logistic source, \begin{align*} u_t=Δ(u+1)^m - χ\nabla \cdot (u(u+1)^{α- 1} \nabla v) + λ(|x|) u -…
Remarks on two connected papers about Keller-Segel systems with nonlinear production
Yuya Tanaka, Giuseppe Viglialoro, Tomomi Yokota
These notes aim to provide a deeper insight on the specifics of two articles dealing with chemotaxis models with nonlinear production. More precisely, we are referring to the paper…