Graduate Student / Postdoc Seminar

Energy Driven Pattern Formation

Speaker: Robert Kohn, Courant

Location: Warren Weaver Hall 1302

Date: Friday, October 6, 2017, 1 p.m.


Energy-driven pattern formation examines how energy minimization leads to the formation of defects and microstructure in a variety of physical systems. Examples include the wrinkling of elastic membranes, the formation of domains in a magnetic material, and the twinning produced by martensitic phase transformation. These systems can be described by "Landau theories" -- essentially, nonconvex variational problems regularized by higher-order singular perturbations. I will show in various examples -- some old, some new -- how one can identify the scaling law of the minimum energy, and how this sheds light on the underlying patterns.


Pizza and drinks at 12:45 p.m.