CONVERGENCE OF THE SCHRÖDINGER–POISSON SYSTEM TO THE INCOMPRESSIBLE EULER EQUATIONS

DOI10.1081/PDE-120016159zbMath1040.35076MaRDI QIDQ4796782

Marjolaine Puel

Publication date: 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Euler equationssemiclassical limitquasi-neutral limitSchrödinger-Poisson system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35)

Related Items (13)

Convergence of the two-species Vlasov-Poisson system to the pressureless Euler equations ⋮ Asymptotic limit of the Gross-Pitaevskii equation with general initial data ⋮ Hydrodynamic limits of the nonlinear Schrödinger equation with the Chern-Simons gauge fields ⋮ Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations ⋮ Convergence of the Vlasov-Poisson-Fokker-Planck system to the incompressible Euler equations ⋮ Incompressible and compressible limits of coupled systems of nonlinear Schrödinger equations ⋮ Hydrodynamic limits of Manton's Schrödinger system ⋮ Low Froude number limit of the rotating shallow water and Euler equations ⋮ Hydrodynamic limits of the nonlinear Klein-Gordon equation ⋮ Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field ⋮ The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data ⋮ Incompressible and compressible limits of two-component Gross–Pitaevskii equations with rotating fields and trap potentials ⋮ Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain

Cites Work

• On Wigner measures
• The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation
• The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case
• Homogenization limits and Wigner transforms
• L² Solutions to the Schrödinger–Poisson System: Existence, Uniqueness, Time Behaviour, and Smoothing Effects
• THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D
• convergence of the vlasov-poisson system to the incompressible euler equations

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