Asymptotic limit of a Navier-Stokes-Korteweg system with density-dependent viscosity

DOI10.3934/era.2015.22.20zbMath1332.35270OpenAlexW2524701738MaRDI QIDQ256351

Jianwei Yang, Peng Cheng, Yudong Wang

Publication date: 9 March 2016

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2015.22.20

zbMATH Keywords

incompressible Navier-Stokes equationsincompressible limitmodulated energyNavier-Stokes-Korteweg modelvanishing capillarity limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (1)

Convergence to nonlinear diffusion waves for solutions of Euler-Korteweg equations with damping

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of global weak solution for compressible fluid models of Korteweg type
• Global existence and optimal \(L^2\) decay rate for the strong solutions to the compressible fluid models of Korteweg type
• Incompressible limit of the non-isentropic Navier-Stokes equations with well-prepared initial data in three-dimensional bounded domains
• Global existence and optimal decay rate of the compressible Navier-Stokes-Korteweg equations with external force
• Strong solutions for a compressible fluid model of Korteweg type
• Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations
• On the thermomechanics of interstitial working
• Incompressible limit for a viscous compressible fluid
• Oscillatory perturbations of the Navier-Stokes equations
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Quasi-neutral limit for a viscous capillary model of plasma.
• Global solutions of a high dimensional system for Korteweg materials
• An asymptotic limit of a Navier-Stokes system with capillary effects
• Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system
• 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 \(R^3\)
• Existence of a Global Strong Solution and Vanishing Capillarity-Viscosity Limit in One Dimension for the Korteweg System
• Dynamics of Compressible Non-isothermal Fluids of Non-Newtonian Korteweg Type
• On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
• convergence of the vlasov-poisson system to the incompressible euler equations
• Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
• On local and non-local Navier-Stokes-Korteweg systems for liquid-vapour phase transitions
• Existence of solutions for compressible fluid models of Korteweg type

This page was built for publication: Asymptotic limit of a Navier-Stokes-Korteweg system with density-dependent viscosity