Everyone is welcome to attend.  Refreshments will be served in the Math Lounge before the exam.

Friday, July 26, 2019
2:10 p.m.
BA6183

PhD Candidate:  Li Chen
Supervisor:   Michael Sigal
Thesis title:  Macroscopic Electrostatics at Positive Temperature from the Density Functional Theory

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The purpose of this thesis is to study local perturbations of equilibrium crystalline states of the density functional theory (DFT) at positive temperature through the Kohn-Sham equations with local-density approximation (LDA). Under suitable scaling and at low temperature, we prove an existence result for the Kohn-Sham equations and show that local macroscopic perturbations from periodic equilibrium states gives rise to the Poisson equation as an effective equation.

A copy of the thesis can be found here:  LiChen_thesis

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