Existence of global weak solutions for Navier-Stokes-Poisson equations with quantum effect and convergence to incompressible Navier-Stokes equations

DOI10.1002/mma.3304zbMath1375.35413OpenAlexW1999410930MaRDI QIDQ2795374

Jianwei Yang, Qiang Chang Ju

Publication date: 21 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3304

zbMATH Keywords

weak solutionsquasi-neutral limitquantum Navier-Stokes-Poisson equationsvanishing dampingincompressible Navier-Stokes equations subclass

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (8)

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 ⋮ A mapping from Schrödinger equation to Navier-Stokes equations through the product-like fractal geometry, fractal time derivative operator and variable thermal conductivity ⋮ Stability of the stationary solution to an outflow problem for the bipolar quantum Navier-Stokes-Poisson equations ⋮ Global weak solutions to 3D compressible Navier-Stokes-Poisson equations with density-dependent viscosity ⋮ On global existence of weak solutions to a viscous capillary model of plasma ⋮ 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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