Abstract
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.
Original language | English |
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Pages (from-to) | 465-489 |
Number of pages | 25 |
Journal | Journal of Mathematical Sciences (Japan) |
Volume | 18 |
Issue number | 4 |
Publication status | Published - 2011 |
Externally published | Yes |
Keywords
- Coulomb gauge
- Quasi-neutral limit
- Rotating incompressible euler equations
- Schrödinger-Poisson system