Graduate Student Seminar-Negative Fractional Laplacian as Long Range Inhibitory Interaction.

Wed, 22 March, 2023 4:00pm - 5:00pm

Date and Time: Wednesday, March 22nd 4-5 p.m.

Place: Rome 206  

Speaker: Guanning Zhang, GWU

Title: Negative Fractional Laplacian as Long Range Inhibitory Interaction.

Abstract: The energy functional of a copolymer system consists of both the short range and the long range interaction. The long range part is represented by the singular part of the Green’s function, which is given by the Riesz potential. Our model is a variational problem. We use the negative fractional Laplacian with different parameters to model the inhibitory force for a one-species system, which is motivated by the diblock copolymers theory, in a bounded domain in two dimensional or three dimensional space. When the parameters vary, for each case we obtain the eigenvalues of the second variation of the energy functional at zero.   

Where
Rome 206 Columbian College of Arts & Sciences 801 22nd Street, NW Washington DC 20052

Admission
Open to everyone.

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