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.