2 citations · 2 across the 3 of their papers we have counts for
4 papers
Blow-down and immediate onset of positivity in the Neumann problem for (super-)fast diffusion equations
Youshan Tao, Michael Winkler
For the degenerate parabolic equation , the homogeneous Neumann problem in smoothly bounded domains is considered in th…
A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production
Youshan Tao, Michael Winkler
In bounded -dimensional domains with , this manuscript considers an initial-boundary problem for a quasilinear chemotaxis system with indirect attractant production, as…
Uniform estimates for solutions to the inhomogeneous 2D Navier-Stokes equations and application to a chemotaxis-fluid system with local sensing
Mario Fuest, Michael Winkler
The chemotaxis-Navier-Stokes system \begin{equation*}\label{1} \left\{ \begin{array}{rcl} n_t+u\cdot\nabla n &=& Δ\big(n c^{-α} \big), \\[1mm] c_t+ u\cdot\nabla c &=& Δc -nc,\\[1mm…
Stability vs. instability of singular steady states in the parabolic-elliptic Keller-Segel system on
Francesca Colasuonno, Michael Winkler
The Cauchy problem in is considered for \begin{eqnarray*} \left\{ \begin{array}{l} u_t = Δu - \nabla \cdot (u\nabla v),\\ 0 = Δv + u. \end{array} \right. \end{eqnarra…