Vanishing capillarity-viscosity limit of the incompressible Navier-Stokes-Korteweg equations with slip boundary condition
DOI10.1016/J.NA.2024.113526MaRDI QIDQ6489374
Publication date: 21 April 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
convergence rateslip boundary conditionvanishing capillarity-viscosity limitincompressible Navier-Stokes-Korteweg equations
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) A priori estimates in context of PDEs (35B45) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Stability and instability of nonparallel flows in hydrodynamic stability (76E09) Euler equations (35Q31) Strong solutions to PDEs (35D35)
Cites Work
- Concerning the \(W^{k,p}\)-inviscid limit for 3-D flows under a slip boundary condition
- Boundary layer analysis of the Navier-Stokes equations with generalized Navier boundary conditions
- Zero-viscosity limit of the Navier-Stokes equations in the analytic setting
- Uniform regularity for the Navier-Stokes equation with Navier boundary condition
- Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
- Vanishing capillarity-viscosity limit for the incompressible inhomogeneous fluid models of Korteweg type
- On the thermomechanics of interstitial working
- Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
- Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
- On the zero-viscosity limit of the Navier-Stokes equations in \(\mathbb R_+^3\) without analyticity
- The inviscid limit of Navier-Stokes equations for analytic data on the half-space
- On the vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains
- Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition
- Sharp inviscid limit results under Navier-type boundary conditions. An \(L^p\) theory
- Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier-Stokes-Korteweg equations
- The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary
- Zero-viscosity limit of the Navier-Stokes equations in a simply-connected bounded domain under the analytic setting
- Vanishing capillarity limit of the compressible non-isentropic Navier-Stokes-Korteweg system to Navier-Stokes system
- On the motion of incompressible inhomogeneous Euler-Korteweg fluids
- Vorticity and regularity for flows under the Navier boundary condition
- On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
- Vanishing Capillarity Limit of the Navier--Stokes--Korteweg System in One Dimension with Degenerate Viscosity Coefficient and Discontinuous Initial Density
- The Three-Dimensional Inviscid Limit Problem with Data Analytic Near the Boundary
- The Inviscid Limit of Navier--Stokes with Critical Navier-Slip Boundary Conditions for Analytic Data
- Zero-viscosity–capillarity limit toward rarefaction wave with vacuum for the Navier–Stokes–Korteweg equations of compressible fluids
- Zero-Viscosity Limit of the Navier--Stokes Equations with the Navier Friction Boundary Condition
- On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
- Vanishing Capillarity Limit of the Compressible Fluid Models of Korteweg Type to the Navier--Stokes Equations
- Zero‐viscosity‐capillarity limit to rarefaction waves for the 1D compressible Navier–Stokes–Korteweg equations
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