Science and Mathematics

Mathematics Faculty Candidate: From Materials to Astrophysics – A Nonlocal Isoperimetric Problem with Long-Range Interactions

January 14, 2020 at 4:00pm5:00pm

Carnegie Library, 122

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Ihsan Topaloglu, Ph.D., from Virginia Commonwealth University, is a candidate for a faculty position in the Department of Mathematics, part of the cluster hiring initiative in the BioInspired Institute.

Abstract: Gamow’s liquid drop model, initially developed to predict the shape of atomic nuclei, has recently resurfaced within the framework of the modern calculus of variations. It was rediscovered as the leading-order approximation in the small mass regime of a variational model for self-assembly of deblock copolymers. From the point of view of modern analysis it can be considered as a phenomenological model of energy-driven pattern formation with competing short- and long-range effects. This type of variational models appears in many different systems at all length scales: from nanoscale in condensed matter systems to centimeter scale for fluids and autocatalytic reaction-diffusion systems, finally all the way to cosmological scales.

In my talk, I will introduce the liquid drop model and review the most current research on global minimizers. I will then address certain anisotropic variants of this geometric variational problem and present on the recent results regarding the qualitative and quantitative properties of minimizing states.

 

Refreshments at 3:30 in Room 111

This event was published on January 8, 2020.


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