Calculus of Variations and Geometric Measure Theory

Homogenization for a semilinear heat equation

Annalisa Cesaroni (Università di Padova)

created by novaga on 19 Jan 2017

25 jan 2017 -- 18:00   [open in google calendar]

Aula Seminari, Dipartimento di Matematica di Pisa


I will discuss the homogenization of a viscous semilinear heat equation with periodically oscillating potential depending to a first order Hamilton Jacobi equation. According to the rate between frequency of oscillations and vanishing factor in the viscosity, we obtain different limit behaviour of the solutions. In particular in the strong diffusion regime, the limit Hamiltonian is discontinuous in the gradient entry. This is an unusual phenomenon in homogenization problems, and makes the analysis of the limit more challenging.