IMath Webinar Series: Jake Avila

You are all invited to attend the third webinar of the IMath Webinar Series for this semester on Monday, April 18, 2022, at 2:30pm.

Mr. Jake M. Avila of the Differential Equations Group will present his work titled “Homogenization of a Quasilinear Elliptic Problem in Domains with Small Holes”.

Abstract: This work aims to provide the asymptotic behavior of some class of quasi-linear problems posed in a domain with small holes in \(\mathbb{R}^N\) for \(N>2\), as \(\varepsilon \rightarrow 0\). A nonlinear Robin boundary condition is prescribed on some of the holes, while a Dirichlet boundary one is imposed on the other hole as well as on the outer boundary. We apply the Periodic Unfolding Method for the homogenization problem.