MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint

Singular limit of a degenerate chemotaxis-Fisher equation

Fathi Dkhil


We study the singular limit of an advection-reaction-degenerate-diffusion equation which appear in a chemotaxis model. We prove the convergence to the solution of a free boundary problem where the motion equation of the interface involve the gradient of the chemotactic concentration and the critical velocity of a degenerate Fisher equation.

Mar 10, 2003
Mar 10, 2003
MSC Codes:
35K65, 35K45, 35K57, 35B50, 92C17
reaction-diffusion system, chemotaxis, keller-segel model, travelling wave, inteface motion

Related publications

2004 Journal Open Access
Fathi Dkhil

Singular limit of a degenerate chemotaxis-Fisher equation

In: Hiroshima mathematical journal, 34 (2004) 1, pp. 101-115