Convergence of the quantum Navier-Stokes-Poisson equations to the incompressible Euler equations for general initial data

DOI10.1016/j.nonrwa.2014.12.003zbMath1319.35168OpenAlexW2079544373MaRDI QIDQ2344570

Jianwei Yang, Qiang Chang Ju

Publication date: 15 May 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2014.12.003

zbMATH Keywords

incompressible Euler equationsinviscid limitquasi-neutral limitquantum Navier-Stokes-Poisson equationsvanishing damping coefficient

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) PDEs in connection with quantum mechanics (35Q40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31)

Related Items (10)

Exponential decay in time of density of one-dimensional quantum Navier-Stokes equations ⋮ The Hamilton-Jacobi analysis of powers of singular Lagrangians: a connection between the modified Schrödinger and the Navier-Stokes equations ⋮ Global existence and the algebraic decay rate of the solution for the quantum Navier–Stokes–Poisson equations in R3 ⋮ A mapping from Schrödinger equation to Navier-Stokes equations through the product-like fractal geometry, fractal time derivative operator and variable thermal conductivity ⋮ Existence of global weak solution for quantum Navier–Stokes system ⋮ From the degenerate quantum compressible Navier-Stokes-Poisson system to incompressible Euler equations ⋮ Convergence of the flow of a chemically reacting gaseous mixture to incompressible Euler equations in a unbounded domain ⋮ INVISCID QUASI-NEUTRAL LIMIT OF A NAVIER-STOKES-POISSON-KORTEWEG SYSTEM ⋮ 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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