Analysis and Applied Mathematics Seminar
Romeo Awi
Institute for Mathematics and its Applications
Some numerical aspects of Quasiconvexity and Rank-one convexity
Abstract: This talk is concerned with some numerical aspects of Morrey's Conjecture in dimension
2x2. The problem is to know whether there exists a rank-one convex
function defined on 2x2 matrices that is not quasiconvex. The conjecture
is first cast as a minimization problem. The later problem is
approximated by minimization problems over families of affine piecewise
functions. Two methods that could lead to finding counter-examples are
suggested.
Monday March 7, 2016 at 4:00 PM in SEO 636