EVENT DETAILS AND ABSTRACT

Title: Plane-like minimal surfaces in periodic media with inclusions
Speaker: Monica Torres
Speaker Info: University of California at Berkeley and University of Texas at Austin
Brief Description:
Special Note:
Abstract:

We consider ${\mathbb{R}}^{n}$ as a periodic media with inclusions (heterogeneous media). That is, we measure the area of a surface of codimension 1 by neglecting the parts inside the inclusions. We prove that, given any plane in ${\mathbb{R}}^{n}$, we can find at least one minimal surface that always stays at a bounded distance (universal) from the plane. We compute the effective norms in the homogenized limit when the inclusions are closed balls, for the case $n=2$.