PIMS/AMI Seminar: Quasi-neutral Limit of the Schrodinger-Poisson System in Coulomb Gauge

The zero Debye length asymptotic of the Schrodinger-Poisson system in Coulomb gauge for ill-prepared initial dada is studied. We prove that the Debye length to the current density defined by the solution of the Schrodinger-Poisson system in Coulomb gauge converges to the solution of the incompressible Euler equation plus a term of fast singular oscillating gradient vector field caused by the electric fields.