Asymptotic limits of Navier-Stokes equations with quantum effects

DOI10.1007/s00033-015-0554-6zbMath1327.35304OpenAlexW846688333MaRDI QIDQ894890

Jianwei Yang, Yong-Fu Yang, Qiang Chang Ju

Publication date: 24 November 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0554-6

zbMATH Keywords

incompressible Navier-Stokes equationssemiclassical limitincompressible limitrelative entropy methodquantum Navier-Stokes equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (5)

Exponential decay in time of density of one-dimensional quantum Navier-Stokes equations ⋮ Incompressible limit of the degenerate quantum compressible Navier-Stokes equations with general initial data ⋮ Incompressible inviscid limit of the viscous two-fluid model with general initial data ⋮ On the low Mach number limit for 2D Navier-Stokes-Korteweg systems ⋮ On the Low Mach Number Limit for Quantum Navier--Stokes Equations

Cites Work

• Unnamed Item
• Incompressible limit of the non-isentropic Navier-Stokes equations with well-prepared initial data in three-dimensional bounded domains
• Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations
• The incompressible limit and the initial layer of the compressible Euler equation
• Incompressible limit for a viscous compressible fluid
• Fast singular limits of hyperbolic PDEs
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Singular limits in compressible fluid dynamics
• Low Mach number limit of the full Navier-Stokes equations
• Nonstationary plane flow of viscous and ideal fluids
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Singular limits for the compressible Euler equation in an exterior domain.
• Compressible and incompressible fluids
• On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
• Derivation of viscous correction terms for the isothermal quantum Euler model
• Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
• Incompressible, inviscid limit of the compressible Navier-Stokes system

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