Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations

From MaRDI portal
Publication:2871076

DOI10.1017/S0308210511001478zbMath1296.35114MaRDI QIDQ2871076

C. Eugene Wayne, Margaret Beck

Publication date: 21 January 2014

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)




Related Items (50)

Diffusion and mixing in fluid flow via the resolvent estimateThe Sobolev stability threshold for 2D shear flows near CouetteEnhanced dissipation and Hörmander's hypoellipticitySuppression of blow-up in parabolic–parabolic Patlak–Keller–Segel via strictly monotone shear flowsEnhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimateInvariant measures for passive scalars in the small noise inviscid limitLinear stability and enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphereRate of the enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphereSuppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equationInstability of unidirectional flows for the 2D Navier-Stokes equations and related \(\alpha\)-modelsInstability of unidirectional flows for the 2D \(\alpha\)-Euler equationsStable mixing estimates in the infinite Péclet number limitThe 2D Boussinesq equations with vertical dissipation and linear stability of shear flowsDynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold CaseLinear inviscid damping and enhanced dissipation for monotone shear flowsOn the norm equivalence of Lyapunov exponents for regularizing linear evolution equationsSelection of quasi-stationary states in the stochastically forced Navier-Stokes equation on the torusEnhanced dissipation and Taylor dispersion in higher‐dimensional parallel shear flowsOn the Stabilizing Effect of Swimming in an Active SuspensionEnhanced dissipation in the Navier-Stokes equations near the Poiseuille flowSuppression of Blow-Up in Patlak--Keller--Segel Via Shear FlowsEnhanced dissipation for the Kolmogorov flow via the hypocoercivity methodEnergy dissipation in Hamiltonian chains of rotatorsThe Vlasov–Poisson–Landau system in the weakly collisional regimeMetastability for the dissipative quasi-geostrophic equation and the non-local enhancementStationary structures near the Kolmogorov and Poiseuille flows in the 2d Euler equationsHydrodynamic stability at high Reynolds numberSeparation of time-scales in drift-diffusion equations on \(\mathbb{R}^2\)Metastability of Kolmogorov flows and inviscid damping of shear flowsInstability of Equilibria for the Two-Dimensional Euler Equations on the TorusRescaled Objective Solutions of Fokker--Planck and Boltzmann equationsDynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold CaseSelection of quasi-stationary states in the Navier–Stokes equation on the torusA stochastic approach to enhanced diffusionEnhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flowsVortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equationsAnalysis of Enhanced Diffusion in Taylor Dispersion via a Model ProblemStability results for idealized shear flows on a rectangular periodic domainLinear inviscid damping and enhanced dissipation for the Kolmogorov flowEnhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flowThe linearized Vlasov and Vlasov-Fokker-Planck equations in a uniform magnetic fieldEnhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipationOn pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flowsNote on Smoothing estimates for Kolmogorov type equationsGlobal existence for the two-dimensional Kuramoto-Sivashinsky equation with a shear flowMixing and diffusion for rough shear flowsTransition threshold for the 2-D Couette flow in a finite channelStability of the Couette flow at high Reynolds numbers in two dimensions and three dimensionsAn Explanation of Metastability in the Viscous Burgers Equation with Periodic Boundary Conditions via a Spectral AnalysisNonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part




This page was built for publication: Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations