Long Wavelength Limit for the Quantum Euler--Poisson Equation

DOI10.1137/15M1046587zbMath1348.35194arXiv1511.00366MaRDI QIDQ5740144

Huimin Liu, Xue-ke Pu

Publication date: 8 July 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00366

zbMATH Keywords

reductive perturbation methodFermi gasion-acoustic wavesquantum pressureelectron-ion plasma

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with quantum mechanics (35Q40)

Related Items

Decay rates of the magnetohydrodynamic model for quantum plasmas ⋮ Asymptotic behaviors of the full quantum hydrodynamic equations ⋮ Global well-posedness of the compressible quantum magnetohydrodynamic model with small initial energy ⋮ Derivation of the mKdV equation from the Euler-Poisson system at critical densities ⋮ NLS approximation of the Euler-Poisson system for a cold ion-acoustic plasma ⋮ The KP limit of a reduced quantum Euler–Poisson equation ⋮ Long-wavelength limit for the Green-Naghdi equations ⋮ Long wavelength limit of non-isentropic Euler-Poisson system ⋮ KDV limit of the hydromagnetic waves in cold plasma ⋮ Dispersive limit for the pressureless two-fluid Euler-Poisson system ⋮ Optimal convergence rates of the magnetohydrodynamic model for quantum plasmas with potential force ⋮ Modulation approximation for the quantum Euler-Poisson equation ⋮ Justification of the NLS approximation for the Euler-Poisson equation

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