2024-03-28T17:52:34Z
https://repository.dl.itc.u-tokyo.ac.jp/oai
oai:repository.dl.itc.u-tokyo.ac.jp:00040034
2022-12-19T04:14:56Z
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Quasineutral Limit of the Schrödinger-Poisson System in Coulomb Gauge
Lin, Chi-Kun
92479
Wong, Yau-Shu
92480
Wu, Kung-Chien
92481
415
Schrödinger-Poisson system
Coulomb gauge
rotating incompressible Euler equations
quasi-neutral limit
The zero Debye length asymptotic of the Schrödinger-Poisson system in Coulomb gauge for ill-prepared initial data is studied. We prove that when the scaled Debye length λ → 0, the current density defined by the solution of the Schrödinger-Poisson system in the Coulomb gauge converges to the solution of the rotating incompressible Euler equation plus a fast singular oscillating gradient vector field.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
2012-03-30
application/pdf
Journal of mathematical sciences, the University of Tokyo
4
18
465
489
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/40034/files/jms180404.pdf
eng