23 citations · 59 across the 12 of their papers we have counts for
4 papers · 1 filter
Two new functional inequalities and their application to the eventual smoothness of solutions to a chemotaxis-Navier-Stokes system with rotational flux
Frederic Heihoff
We prove two new functional inequalities of the forms\[ \int_G φ(ψ- \overlineψ) \leq \frac{1}{a}\int_G ψ\ln \left(\frac{\;ψ\;}{ \overlineψ}\right) + \frac{a}{4β_0} \left\{ \int_G ψ…
Does strong repulsion lead to smooth solutions in a repulsion-attraction chemotaxis system even when starting with highly irregular initial data?
Frederic Heihoff
It has been well established that, in attraction-repulsion Keller-Segel systems of the form\begin{equation*} \left\{ \begin{aligned} u_t &= Δu - χ\nabla \cdot (u\nabla v) + ξ\nabla…
Global existence and stabilization in a diffusive predator-prey model with population flux by attractive transition
Frederic Heihoff, Tomomi Yokota
The diffusive Lotka-Volterra predator-prey model \begin{eqnarray*} \left\{ \begin{array}{rcll} u_t &=& \nabla\cdot \left[ d_1\nabla u + χv^2 \nabla \Big(\dfrac{u}{v}\Big)\right] +u…
Global solutions to a haptotaxis system with a potentially degenerate diffusion tensor in two and three dimensions
Frederic Heihoff
We consider the potentially degenerate haptotaxis system \begin{equation*} \left\{ \begin{aligned} u_t &= \nabla \cdot (\mathbb{D} \nabla u + u \nabla \cdot \mathbb{D}) - χ\nabla \…