Zero Mach number limit of the compressible Navier-Stokes-Korteweg equations

DOI10.4310/CMS.2016.v14.n1.a9zbMath1328.76077OpenAlexW2736915656MaRDI QIDQ900238

Yeping Li, Wen-An Yong

Publication date: 21 December 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2016.v14.n1.a9

zbMATH Keywords

incompressible Navier-Stokes equationscompressible Navier-Stokes-Korteweg equationsconvergence-stability principleenergy-type error estimatesMach number limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (13)

Zero-Mach limit of the compressible Navier–Stokes–Korteweg equations ⋮ Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion ⋮ Zero Mach number limit of the compressible Euler-Korteweg equations ⋮ Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier-Stokes-Korteweg equations ⋮ Zero‐viscosity‐capillarity limit towards rarefaction wave for the full Navier–Stokes–Korteweg system of compressible fluids ⋮ Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids ⋮ The unique global solvability and optimal time decay rates for a multi-dimensional compressible generic two-fluid model with capillarity effects ^* ⋮ Existence of strong solutions to the stationary compressible Navier-Stokes-Korteweg equations with large external force ⋮ The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity ⋮ A class of global large solutions to the compressible Navier-Stokes-Korteweg system in critical Besov spaces ⋮ Low Mach number limit of the three-dimensional full compressible Navier-Stokes-Korteweg equations ⋮ Global large solutions and incompressible limit for the compressible Navier-Stokes system with capillarity ⋮ Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity

This page was built for publication: Zero Mach number limit of the compressible Navier-Stokes-Korteweg equations