"Variational models for prestrained plates with Monge-Ampère constraint" Marta Lewicka

Speaker:

Associate Professor, Department of Mathematics, University of Pittsburgh

Research Interests:

Mathematical Theory of Elasticity, Calculus of Variations, Differential Geometry, Nonlinear Partial Differential Equations, Systems of Conservation Laws, Reaction-Diffusion Equations, Nonlinear Analysis

Title:

Variational models for prestrained plates with Monge-Ampere constraint

Abstract: 

We derive a model for prestrained thin films, which consists of minimizing a biharmonic energy of displacements v ∈ W^2,2 satisfying the Monge-Ampère constraint det ∇²v = f. We further discuss multiplicity properties of the minimizers of this model, in some special cases.

Host: 

Prof. Eliot Fried, Mathematical Soft Matter Unit