Home /  Workshop /  Schedules /  Pattern formation, optimal transport and interpolation inequalities

Pattern formation, optimal transport and interpolation inequalities

Connections for Women on Optimal Transport: Geometry and Dynamics August 22, 2013 - August 23, 2013

August 23, 2013 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Eleonora Cinti (Università di Bologna)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

v1128
Abstract In this talk I will present some interpolation inequalities which arise in the study of pattern formation in physics. In many physical problems described by a variational model (such as domain branching in ferromagnets, superconductors, twin branching in shape memory alloys), the energy is given by the competition of two main terms: an interfacial energy (described by a BV-norm) and a transport term (described by a negative norm or a Wasserstein distance). In order to establish a rigorous lower bound for the energy of minimizing configurations, one needs suitable interpolation inequalities. I will describe the connection between these interpolation estimates and the physical problem, and I will sketch the proof of some of these estimates. This is a joint work with Felix Otto.
Supplements
17696?type=thumb v1128 702 KB application/pdf Download
Video/Audio Files

v1128

H.264 Video v1128.m4v 276 MB video/mp4 rtsp://videos.msri.org/data/000/017/578/original/v1128.m4v Download
Quicktime v1128.mov 386 MB video/quicktime rtsp://videos.msri.org/data/000/017/579/original/v1128.mov Download
Troubles with video?

Please report video problems to itsupport@slmath.org.

See more of our Streaming videos on our main VMath Videos page.