The singular limit of a haptotaxis model with bistable growth

Details The singular limit of a haptotaxis model with bistable growth The singular limit of a haptotaxis model with bistable growth

2010-03-11

arxiv.org/abs/1003.2442v1

Mathematics

Analysis of PDEs

Scientific paper

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 curvature and on some nonlocal haptotaxis term.
We prove the result for general initial data after establishing a result about
generation of interface in a small time.

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