Stability and related zero viscosity limit of steady plane Poiseuille-Couette flows with no-slip boundary condition

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Boundary value problems for PDEs of mixed type (35M12)

Cites Work

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On the stability threshold for the 3D Couette flow in Sobolev regularity
Steady Prandtl boundary layer expansions over a rotating disk
Spectral instability of characteristic boundary layer flows
Transition threshold for the 2-D Couette flow in a finite channel
Corrigendum to: ``Stationary inviscid limit to shear flows
Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows
Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate
Stability of plane-parallel Couette flow
Stationary inviscid limit to shear flows
Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points
Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations
Regularity and expansion for steady Prandtl equations
Stability threshold of two-dimensional Couette flow in Sobolev spaces
Well-posedness for the Prandtl system without analyticity or monotonicity
Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
On the ill-posedness of the Prandtl equation
Transition Threshold for the <scp>3D</scp> Couette Flow in Sobolev Space
Boundary Layer Expansions for the Stationary Navier-Stokes Equations
Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions
Well-posedness of the Prandtl equation in Sobolev spaces
Spectral instability of general symmetric shear flows in a two-dimensional channel
Linear Stability of Pipe Poiseuille Flow at High Reynolds Number Regime
Validity of steady Prandtl layer expansions

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