Michael Winkler

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20232026

L^{p}

estimates for solutions to the inhomogeneous 2D Navier-Stokes equations and application to a chemotaxis-fluid system with local sensing

2 citations · 2 across the 3 of their papers we have counts for

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math.AP2024

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 $n$ -dimensional domains with $n \geq 3$ , this manuscript considers an initial-boundary problem for a quasilinear chemotaxis system with indirect attractant production, as…

math.AP2024★ 2 cited

Uniform $L^{p}$ 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…

A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production

Uniform Lp estimates for solutions to the inhomogeneous 2D Navier-Stokes equations and application to a chemotaxis-fluid system with local sensing

Uniform $L^{p}$ estimates for solutions to the inhomogeneous 2D Navier-Stokes equations and application to a chemotaxis-fluid system with local sensing