MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Singular limit of a degenerate chemotaxis-Fisher equation
Fathi DkhilAbstract
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.
- Received:
- 10.03.03
- Published:
- 10.03.03
- MSC Codes:
- 35K65, 35K45, 35K57, 35B50, 92C17
- Keywords:
- reaction-diffusion system, chemotaxis, keller-segel model, travelling wave, inteface motion