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Homogenization for a semilinear heat equation


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.
http://cvgmt.sns.it/seminar/566/
When
Wed Jan 25, 2017 5pm – 6pm Coordinated Universal Time
Where
Aula Seminari, Dipartimento di Matematica di Pisa (map)