Internal Seminar Series

Internal Seminar Series

Internal Seminar Series

Internal Seminar Series

Speaker: Dr. Katja T.C.A. Peijnenburg
1) Naturalis Biodiversity Center, Leiden, The Netherlands   
2) University of Amsterdam, Amsterdam, The Netherlands  

Dr. Andrea Giovannucci
Assistant Professor in Neural Engineering
UNC/NCSU Joint Department of Biomedical Engineering.

Learn to summarize and present yourself and your research in a short time.

This seminar is aimed at intern students who are not native speakers of English, but all are welcome to attend.

Language: English. Venue: c600B. No need to register.

Prof Mark Tame, Stellenbosch University, South Africa

Abstract: Motivated by generalizations of the Ginsburg-Landau energy and the diffusion equation in which derivatives are replaced by fractional derivatives, Caffarelli, Roquejoffre, and Savin studied the minimizers of a fractional perimeter functional on sets involving a parameter between 0 and 1.  Such minimizers have to satisfy a pointwise condition on their boundary, which can be used to define a notion of nonlocal mean-curvature.  This definition only holds for surfaces which are the boundary of a set.  I will describe how to define a nonlocal notion of mean-curvature for any surface by introducing a fractional area functional and considering its minimizers.  Moreover, I will describe how these ideas can be extended to curves by defining a fractional length and an associated nonlocal curvature for a curve.

Speaker: Dr. Tiago J. Arruda, University of São Paulo, Brazil
Language: English