Quasineutral limit for the quantum Navier-Stokes-Poisson equations

DOI10.3934/cpaa.2017013zbMath1352.76129arXiv1510.03960OpenAlexW2964265124MaRDI QIDQ728530

Min Li, Shu Wang, Xue-ke Pu

Publication date: 20 December 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03960

zbMATH Keywords

uniform energy estimatesquasineutral limitformal expansionquantum Navier-Stokes-possion systemwell-prepared initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Asymptotic expansions of solutions to PDEs (35C20) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (5)

Global existence and the algebraic decay rate of the solution for the quantum Navier–Stokes–Poisson equations in R3 ⋮ Stability of the stationary solution to an outflow problem for the bipolar quantum Navier-Stokes-Poisson equations ⋮ Global solutions for the compressible quantum hydrodynamic model in a bounded domain ⋮ Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations ⋮ Asymptotic stability of the stationary wave for the quantum Navier-Stokes-Poisson system

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