Minimization Problems Involving Policonvex Integrands

Series
Dissertation Defense
Time
Friday, April 24, 2015 - 1:30pm for 1 hour (actually 50 minutes)
Location
Skiles 249
Speaker
Romeo Awi – School of Mathematics, Georgia Tech
Organizer
Wilfrid Gangbo
This thesis is mainly concerned with problems in the areas of the Calculus of Variations and Partial Differential Equations (PDEs). The properties of the functional to minimize play an important role in the existence of minimizers of integral problems. We will introduce the important concepts of quasiconvexity and polyconvexity. Inspired by finite element methods from Numerical Analysis, we introduce a perturbed problem which has some surprising uniqueness properties.