On degenerate circular and shear flows: the point vortex and power law circular flows

DOI10.1080/03605302.2018.1542436zbMath1458.76036arXiv1801.07371OpenAlexW2963003865WikidataQ128522350 ScholiaQ128522350MaRDI QIDQ4634011

Michele Coti Zelati, Christian Zillinger

Publication date: 7 May 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07371

zbMATH Keywords

Sobolev spaceasymptotic stabilityEuler equationsinviscid dampingFourier multiplier method

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Parallel shear flows in hydrodynamic stability (76E05) Euler equations (35Q31)

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Cites Work

• Inviscid dynamical structures near Couette flow
• Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
• Large time behavior and asymptotic stability of the 2D Euler and linearized Euler equations
• Linear inviscid damping and vorticity depletion for shear flows
• Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations
• Linear inviscid damping and enhanced dissipation for the Kolmogorov flow
• On circular flows: linear stability and damping
• Linear inviscid damping for monotone shear flows in a finite periodic channel, boundary effects, blow-up and critical Sobolev regularity
• Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case
• Linear inviscid damping for monotone shear flows

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