Low Mach number limit of the three-dimensional full compressible Navier-Stokes-Korteweg equations
DOI10.1007/s00033-019-1215-yzbMath1433.35295OpenAlexW2986475219WikidataQ126815917 ScholiaQ126815917MaRDI QIDQ2286243
Publication date: 10 January 2020
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-019-1215-y
incompressible Navier-Stokes equationserror estimatelow Mach number limitfull compressible Navier-Stokes-Korteweg equations
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Perturbations in context of PDEs (35B20)
Related Items (7)
Cites Work
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- Strong well-posedness for a Korteweg-type model for the dynamics of a compressible non-isothermal fluid
- Existence of global weak solution for compressible fluid models of Korteweg type
- Existence of global strong solution for the compressible Navier-Stokes system and the Korteweg system in two-dimension
- Decay estimates of the non-isentropic compressible fluid models of Korteweg type in \(\mathbb R^3\)
- Compressible fluid flow and systems of conservation laws in several space variables
- On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
- On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
- Zero Mach number limit of the compressible Navier-Stokes-Korteweg equations
- A minicourse on the low Mach number limit
- Existence of strong solutions for nonisothermal Korteweg system
- On the thermomechanics of interstitial working
- Incompressible limit for a viscous compressible fluid
- Singular perturbations of first-order hyperbolic systems with stiff source terms
- Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type
- Existence of strong solutions to the stationary compressible Navier-Stokes-Korteweg equations with large external force
- Global solutions of a high dimensional system for Korteweg materials
- Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data
- Vanishing capillarity limit of the compressible non-isentropic Navier-Stokes-Korteweg system to Navier-Stokes system
- Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system
- Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data
- Low Mach number limit of the full Navier-Stokes equations
- Time periodic solutions of the non-isentropic compressible fluid models of Korteweg type
- 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
- Low Mach number limit for the multi-dimensional full magnetohydrodynamic equations
- Finite Energy Method for Compressible Fluids: The Navier‐Stokes‐Korteweg Model
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
- Existence and time-asymptotics of global strong solutions to dynamic Korteweg models
- Improved Accuracy of Incompressible Approximation of Compressible Euler Equations
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- The mathematical theory of low Mach number flows
- Low Mach number limit for viscous compressible flows
- Existence of solutions for compressible fluid models of Korteweg type
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