Linear Stability of the Couette Flow in the 3D Isentropic Compressible Navier--Stokes Equations (Q5044986)

scientific article; zbMATH DE number 7611900

Language	Label	Description	Also known as
English	Linear Stability of the Couette Flow in the 3D Isentropic Compressible Navier--Stokes Equations	scientific article; zbMATH DE number 7611900

Statements

instance of

scholarly article

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title

Linear Stability of the Couette Flow in the 3D Isentropic Compressible Navier--Stokes Equations (English)

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SIAM Journal on Mathematical Analysis

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publication date

3 November 2022

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full work available at URL

https://arxiv.org/abs/2105.10200

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zbMATH Keywords

compressible Navier-Stokes equations

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Couette flow

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enhanced dissipation

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MaRDI profile type

MaRDI publication profile

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cites work

Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid

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On the stability threshold for the 3D Couette flow in Sobolev regularity

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Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case

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Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case

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Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations

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Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow

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The Sobolev stability threshold for 2D shear flows near Couette

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Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor

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Stability of Inviscid Plane Couette Flow

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Subcritical transition in channel flows

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A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework

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Transition threshold for the 2-D Couette flow in a finite channel

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Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity

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Global existence in critical spaces for compressible Navier-Stokes equations

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Compressible Navier-Stokes system: large solutions and incompressible limit

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Q3896709

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On the linear stability of compressible plane Couette flow

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Global Solutions to the Isentropic Compressible Navier--Stokes Equations with a Class of Large Initial Data

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Transient and asymptotic growth of two-dimensional perturbations in viscous compressible shear flow

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On the existence of globally defined weak solutions to the Navier-Stokes equations

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The linear stability of viscous compressible plane Couette flow

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Existence of global strong solutions in critical spaces for barotropic viscous fluids

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Transient growth in compressible boundary layer flow

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Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data

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Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids

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Linear stability of viscous supersonic plane Couette flow

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On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations

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Inviscid damping near the Couette flow in a channel

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Global existence of solutions to the compressible Navier-Stokes equation around parallel flows

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Asymptotic behavior of solutions of the compressible Navier-Stokes equation around the plane Couette flow

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Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a parallel flow

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On the spectrum of the linearized operator around compressible Couette flows between two concentric cylinders

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Bounds for threshold amplitudes in subcritical shear flows

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Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain

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Q5844186

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Q5844221

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Stability of plane Couette flow for the compressible Navier-Stokes equations with Navier-slip boundary

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Global small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantity

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Bounds for the Threshold Amplitude for Plane Couette Flow

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Inviscid dynamical structures near Couette flow

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Q4389323

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On Green's functions for small disturbances of plane Couette flow

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Enhanced dissipation for the 2D couette flow in critical space

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The initial value problem for the equations of motion of viscous and heat-conductive gases

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On Landau damping

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Transition to turbulence in plane Poiseuille and plane Couette flow

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Stability of plane-parallel Couette flow

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Stability and transition in shear flows

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Hydrodynamic Stability Without Eigenvalues

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Transition Threshold for the <scp>3D</scp> Couette Flow in Sobolev Space

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Hydrodynamic instability and transition to turbulence

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Global well-posedness and decay rates for the three dimensional compressible Oldroyd-B model

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Linear inviscid damping for monotone shear flows

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Identifiers

DOI

10.1137/21M1438499

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5044986