Pseudospectral and spectral bounds for the Oseen vortices operator

Abstract

In this paper, we solve Gallay's conjecture on the spectral lower bound and pseudospecrtal bound for the linearized operator of the Navier-Stokes equation in $R^2$ around rapidly rotating Oseen vortices.

arXiv comment34 pages

References in corpus (1)

• Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on R^2

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• Stability of the Couette flow at high Reynolds number in 2D and 3D
• Metastability for the dissipative quasi-geostrophic equation and the non-local enhancement
• Pseudospectral bound and transition threshold for the 3D Kolmogorov flow
• Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel
• Linear stability analysis for 2D shear flows near Couette in the isentropic Compressible Euler equations
• Separation of time-scales in drift-diffusion equations on ${\mathbb{R}}^2$
• Stable mixing estimates in the infinite Péclet number limit