publications

Article

Singular limit of a degenerate chemotaxis-Fisher equation

Dkhil Fathi, -0001

Hiroshima Mathematical Journal, 34, 1, 101-115, 2004,

Résumé

We study the singular limit of a degenerate nonlinear diffusion equation

which appears in a chemotaxis-growth 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.