On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations

DOI10.1007/s11425-021-1953-2zbMath1514.35311arXiv2106.04173OpenAlexW3172273679MaRDI QIDQ6100636

Di Wu, Qi Chen, Zhifei Zhang

Publication date: 12 May 2023

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04173

zbMATH Keywords

Navier-Stokes equationsshear flowPrandtl expansion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30)

Related Items (4)

Linear inviscid damping and enhanced dissipation for monotone shear flows ⋮ Tollmien–Schlichting waves in the subsonic regime ⋮ Magneto-micropolar boundary layers theory in Sobolev spaces without monotonicity: well-posedness and convergence theory ⋮ Enhanced dissipation and transition threshold for the Poiseuille-Couette flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Spectral instability of characteristic boundary layer flows
• Transition threshold for the 2-D Couette flow in a finite channel
• Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows
• Remarks about the inviscid limit of the Navier-Stokes system
• On the inviscid limit for a fluid with a concentrated vorticity
• Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
• Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows
• Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate
• On the zero-viscosity limit of the Navier-Stokes equations in \(\mathbb R_+^3\) without analyticity
• Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition
• The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary
• Global steady Prandtl expansion over a moving boundary. I
• Global steady Prandtl expansion over a moving boundary. II
• Global steady Prandtl expansion over a moving boundary. III
• \(L^\infty\) instability of Prandtl layers
• Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• A Kato type theorem on zero viscosity limit of Navier-Stokes flows
• Vanishing Viscosity Limits for a Class of Circular Pipe Flows
• On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
• Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations
• On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
• Inviscid limit for vortex patches
• The Three-Dimensional Inviscid Limit Problem with Data Analytic Near the Boundary
• On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
• Asymptotic analysis of the eigenvalues of a Laplacian problem in a thin multidomain
• Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions
• The Convergence with Vanishing Viscosity of Nonstationary Navier-Stokes Flow to Ideal Flow in R 3

This page was built for publication: On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations