Monday, September 27 at 3:30pm to 4:30pm
Marta Lewicka, University of Pittsburgh
Abstract: The remarkable range of biological forms in and around us, raise a number of questions: how might these shapes be predicted, and how can they eventually be designed and controlled for function? We review our current understanding of this problem, that brings together analysis, geometry and mechanics in the description of the morphogenesis of low-dimensional objects. Starting from the view that shape is the consequence of metric frustration in an ambient space, we revisit known rigorous results on curvature-driven patterning of thin elastic films, especially the asymptotic behaviors of the solutions as the thickness becomes vanishingly small and the local curvature can become large. Along the way, we discus open problems that include those in mathematical modeling, analysis and applications in science and engineering.
Zoom Meeting: https://usc.zoom.us/j/94728448929?pwd=QVpGN0UveENVZXBPNzBVc0lvNktrZz09
Meeting ID: 947 2844 8929
and CAMS Colloquium chat room:
Meeting ID: 937 2442 0445