Displaying similar documents to “A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions”

Similarity stabilizes blow-up

Steve Schochet (1999)

Journées équations aux dérivées partielles

Similarity:

The blow-up of solutions to a quasilinear heat equation is studied using a similarity transformation that turns the equation into a nonlocal equation whose steady solutions are stable. This allows energy methods to be used, instead of the comparison principles used previously. Among the questions discussed are the time and location of blow-up of perturbations of the steady blow-up profile.