Liu Bie Ju Centre for Mathematical Sciences
City University of Hong Kong
Mathematical Analysis and its Applications
Colloquium

Organized by Prof. Ya Yan LU and Prof. Wei Wei SUN

The DiPerna-Lions theory for differential equations with non-smooth coefficients, and its stochastic extension

by

Professor Cristinel MARDARE
University Pierre et Marie Curie, Paris

Date: Dec 08, 2010 (Wednesday)
Time:4:30 pm to 5:30 pm
Venue: Room B6605 (College Conference Room)
Blue Zone, Level 6, Academic Building
City University of Hong Kong

ABSTRACT: This talk concerns the rigidity of mappings u from the n-dimensional Euclidean space into itself. Liouville's theorem states that if the gradient of u is an orthogonal matrix at every point, then u is affine. A quantitative version of this theorem, established in 2002 by Friesecke, James & Müller, states that the L^2-distance between u and the set of affine functions is controlled by the L^2-norm of the distance between the gradients of u and the set of special orthogonal matrices. We will give an overview of the proof of these results and present several applications to nonlinear elasticity.

** All interested are welcome **

For enquiry: 3442-9816