Speaker: Dr. Ihsan Topaloglu, Virginia Commonwealth University
Title: “A Variational model involving nonlocal interactions of Wasserstein type”
Abstract: In this talk, I will consider a variational problem which appears in models of bilayer membranes. After introducing and deriving the model I will establish the existence of volume-constrained minimizers where the energy functional consists of two competing terms: a surface energy term penalizing transitions between sets and a nonlocal energy involving the Wasserstein distance between equal volume sets. In the second part of the talk I will consider the maximization of the minimum Wasserstein distance between two given sets, and show that this maximum is obtained by a ball. These results are drawn from joint works with Almut Burchard, Davide Carazzato, Michael Novack, and Raghavendra Venkatraman.

The Analysis and Applied Mathematics (AAM) Seminar is intended for Kennesaw State faculty working in the various areas of analysis and applied mathematics to get together to discuss their current work or related questions. Seminars often involve advanced mathematical knowledge. However, the seminars are open to anyone interested in attending.

This seminar will be held virtually. 

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