Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field

DOI10.1051/m2an:2003006zbMath1137.76836OpenAlexW2129592882MaRDI QIDQ4423099

Marjolaine Puel

Publication date: 25 August 2003

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2002__36_6_1071_0

zbMATH Keywords

semi-classical limitmodulated energyquasi-neutral plasmas

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) General mathematical topics and methods in quantum theory (81Q99) Statistical mechanics of plasmas (82D10) Compressible fluids and gas dynamics (76N99) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (3)

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 ⋮ Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth

Cites Work

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• On Wigner measures
• The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case
• Homogenization limits and Wigner transforms
• THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D
• CONVERGENCE OF THE SCHRÖDINGER–POISSON SYSTEM TO THE INCOMPRESSIBLE EULER EQUATIONS
• convergence of the vlasov-poisson system to the incompressible euler equations

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