79 citations · 82 across the 4 of their papers we have counts for
4 papers
A nonlocal model of epidemic network with nonlimited transmission: Global existence and uniqueness
Elisabeth Logak, Isabelle Passat
Following \cite{ipel1}, we consider a nonlinear SIS-type nonlocal system describing the spread of epidemics on networks, assuming nonlimited transmission, We prove local existence…
Convergence to a propagating front in a degenerate Fisher-KPP equation with advection
Matthieu Alfaro, Elisabeth Logak
We consider a Fisher-KPP equation with density-dependent diffusion and advection, arising from a chemotaxis-growth model. We study its behavior as a small parameter, related to the…
The singular limit of a haptotaxis model with bistable growth
Elisabeth Logak, Chao Wang
We consider a model for haptotaxis with bistable growth and study its singular limit. This yiels an interface motion where the normal velocity of the interface depends on the mean…
Mass conserved Allen-Cahn equation and volume preserving mean curvature flow
Xinfu Chen, Danielle Hilhorst, Elisabeth Logak
We consider a mass conserved Allen-Cahn equation $u_t=Δu+ \e^{-2} (f(u)-\eλ(t))$ in a bounded domain with no flux boundary condition, where $\eλ(t)$ is the average of $f(u(\cdot,t)…