5 citations · 6 across the 6 of their papers we have counts for
8 papers
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 \…
On the weakly competitive case in a two-species chemotaxis model
Tobias Black, Johannes Lankeit, Masaaki Mizukami
In this article we investigate a parabolic-parabolic-elliptic two-species chemotaxis system with weak competition and show global asymptotic stability of the coexistence steady sta…
Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers
Johannes Lankeit, Patrizio Neff, Frank Osterbrink
In this note we extend integrability conditions for the symmetric stretch tensor in the polar decomposition of the deformation gradient to the non-symmetric ca…