79 citations · 82 across the 4 of their papers we have counts for
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math.AP2011★ 1 cited
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…
math.AP2010★ 1 cited
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…
math.AP2009★ 79 cited
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)…