Enhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimate
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Publication:2148947
DOI10.1016/j.jde.2022.06.004OpenAlexW3080918497MaRDI QIDQ2148947
Publication date: 24 June 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.10057
Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35)
Related Items (12)
Stability of the Couette flow for a 2D Boussinesq system without thermal diffusivity ⋮ Linear inviscid damping and enhanced dissipation for monotone shear flows ⋮ Stability Threshold of the Couette Flow for Navier–Stokes Boussinesq System with Large Richardson Number \(\boldsymbol{\gamma}^{\boldsymbol{2}} \boldsymbol{\gt} \frac{\boldsymbol 1}{\boldsymbol 4}\) ⋮ Uniqueness and uniform structural stability of Poiseuille flows in a two-dimensional strip ⋮ Enhanced Dissipation and Transition Threshold for the Poiseuille Flow in a Periodic Strip ⋮ Uniqueness and uniform structural stability of Poiseuille flows in a periodic pipe with Navier boundary conditions ⋮ Enhanced dissipation by circularly symmetric and parallel pipe flows ⋮ Stability threshold of the 2D Couette flow in a homogeneous magnetic field using symmetric variables ⋮ The Vlasov–Poisson–Landau system in the weakly collisional regime ⋮ Metastability for the dissipative quasi-geostrophic equation and the non-local enhancement ⋮ Enhanced dissipation and transition threshold for the Poiseuille-Couette flow ⋮ Uniqueness and uniform structural stability of Poiseuille flows in an infinitely long pipe with Navier boundary conditions
Cites Work
- Unnamed Item
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- On the stability threshold for the 3D Couette flow in Sobolev regularity
- Hydrodynamic instability and transition to turbulence
- Transition threshold for the 2-D Couette flow in a finite channel
- Semigroups of linear operators and applications to partial differential equations
- Stability and transition in shear flows
- The Sobolev stability threshold for 2D shear flows near Couette
- Metastability of Kolmogorov flows and inviscid damping of shear flows
- Enhanced dissipation and axisymmetrization of two-dimensional viscous vortices
- Stability of plane-parallel Couette flow
- Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method
- Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow
- Linear inviscid damping and vorticity depletion for shear flows
- Linear inviscid damping and enhanced dissipation for the Kolmogorov flow
- On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows
- Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations
- A Resolution of the Sommerfeld Paradox
- Hydrodynamic Stability Without Eigenvalues
- Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case
- Transition to turbulence in plane Poiseuille and plane Couette flow
- On stability of streamwise streaks and transition thresholds in plane channel flows
- Subcritical transition in channel flows
- Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces
- Pseudospectral Bound and Transition Threshold for the 3D Kolmogorov Flow
- Pseudospectral and spectral bounds for the Oseen vertices operator
- Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions
- Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow
- Spectral instability of general symmetric shear flows in a two-dimensional channel
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