The Schrodinger-Poisson-Landau-Lifshitz-Gilbert (SPLLG) system is an effective microscopic model that describes the coupling between conduction electron spins and the magnetization in ferromagnetic materials. This system has been used in connection to the study of spin transfer and magnetization reversal in ferromagnetic materials. In this paper, we rigorously prove the existence of weak solutions to SPLLG and derive the Vlasov-Poisson-Landau-Lifshitz-Glibert system as the semiclassical limit.

Dr. Chai is currently a Postdoctoral Research Associate of University of California, Santa Barbara. Dr. Chai's research interests are multiscale analysis and computational methods related to partial differential equations arising from quantum physics, hydrodynamics, and gas flows, including: 1) High frequency wave propagation (modeling and numerical methods for quantum transport); 2) Kinetic theory (numerical methods for statistical mechanics and hydrodynamics).