Abstract

It is well know that the special orthogonal group SO(n) does not support the fine scale oscillation of the gradients. Recently Friesecke, James and Mueller established a quantitative version of this phenomena. However it is not known whether two incompatible (without rank-one connections) copies of SO(n) support microstructures. We will discuss an optimal quantitative rigidity estimate for two `strongly incompatible' (in the sense of Matos and Sverak) copies of SO(n). We will also discuss an application to the scaling of thin martensitic films. This is a joint work with Stefan Mueller.

THURSDAY, December 6, 2005
Time: 1:30 P.M.
Location: PPB 300