5 citations · 15 across the 21 of their papers we have counts for
4 papers · 2 filters
Boundedness of solutions to a virus infection model with saturated chemotaxis
Bingran Hu, Johannes Lankeit
We show global existence and boundedness of classical solutions to a virus infection model with chemotaxis in bounded smooth domains of arbitrary dimension and for any sufficiently…
Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system
Johannes Lankeit
We consider a parabolic-elliptic chemotaxis system generalizing \[ \begin{cases}\begin{split} & u_t=\nabla\cdot((u+1)^{m-1}\nabla u)-\nabla \cdot(u(u+1)^{σ-1}\nabla v)\\ & 0 = Δv -…
Singular sensitivity in a Keller-Segel-fluid system
Tobias Black, Johannes Lankeit, Masaaki Mizukami
In bounded smooth domains , , considering the chemotaxis--fluid system \[ \begin{cases} \begin{split} & n_t + u\cdot \nabla n &= Δn - χ\nabla \cd…
A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: Global solvability for large nonradial data
Johannes Lankeit, Michael Winkler
The chemotaxis system \[ \left\{ \begin{array}{l} u_t = Δu - χ\nabla \cdot (\frac{u}{v}\nabla v), v_t=Δv - v+u, \end{array} \right. \] is considered in a bounded domain $Ω\subset \…