72 citations · 455 across the 28 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
math.AP2021★ 7 cited
Unboundedness phenomenon in a model of urban crime
Mario Fuest, Frederic Heihoff
We show that spatial patterns ("hotspots") may form in the crime model \begin{equation} \left\{\; \begin{aligned} u_{t} &= \tfrac{1}{\varepsilon}Δu - \tfracχ{\varepsilon} \nabla \c…
math.AP2021★ 19 cited
Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity
Mario Fuest
Systems of the type $$\begin{cases} u_t = \nabla \cdot (D_1(u) \nabla u - S_1(u) \nabla v) + f_1(u, v),\\ v_t = \nabla \cdot (D_2(v) \nabla v + S_2(v) \nabla u) + f_2(u, v) \end{ca…