Abstract

We investigate the large time behaviour of a diffusive Hamilton-Jacobi equation involving a quasilinear degenerate diffusion (p-Laplacian) and a nonlinear reaction term depending solely on the gradient, the latter being either an absorption term or a source term. Assuming the reaction term to be the euclidean norm of the gradient to the power q, a range of the parameters p and q is identified for which the influence of the diffusion is negligible for large times. Convergence to self-similar solutions of the Hamilton-Jacobi equation (without diffusion) is then established.

TUESDAY, May 20, 2008
Time: 1:30 P.M.
Location: PPB 300