On the Low Mach Number Limit for Quantum Navier--Stokes Equations

DOI10.1137/19M1252958zbMath1454.35272arXiv1902.00402MaRDI QIDQ5139109

Paolo Antonelli, Lars Eric Hientzsch, Pierangelo Marcati

Publication date: 7 December 2020

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

Full work available at URL: https://arxiv.org/abs/1902.00402

zbMATH Keywords

energy estimatesquantum fluidsacoustic wavesStrichartz estimateslow Mach number limitcompressible and incompressible Navier-Stokes equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Hydro- and aero-acoustics (76Q05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) Compressible Navier-Stokes equations (76N06)

Related Items (8)

Global existence and the algebraic decay rate of the solution for the quantum Navier–Stokes–Poisson equations in R3 ⋮ Global well-posedness of the compressible quantum magnetohydrodynamic model with small initial energy ⋮ Rayleigh-Taylor instability for incompressible viscous quantum flows ⋮ Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity ⋮ On the low Mach number limit for 2D Navier-Stokes-Korteweg systems ⋮ Global existence of weak solutions to the Navier-Stokes-Korteweg equations ⋮ Global existence of finite energy weak solutions to the quantum Navier-Stokes equations with non-trivial far-field behavior ⋮ Exponential decay for 2D reduced gravity two-and-a-half layer model with quantum potential and drag force

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