On stability of steady circular flows in a two-dimensional exterior disk

DOI10.1007/s00205-017-1105-4zbMath1371.35199OpenAlexW2595011675MaRDI QIDQ529852

Yasunori Maekawa

Publication date: 9 June 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/69879

zbMATH Keywords

Poisson equationBiot-Savart lawHardy inequalityHelmholtz projectionperturbed Stokes operatortwo-dimensional Navier-Stokes equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Rotation in hydrodynamic stability (76E07)

Related Items (7)

Stability of a two‐dimensional stationary rotating flow in an exterior cylinder ⋮ Existence of the stationary Navier-Stokes flow in \(\mathbb{R}^2\) around a radial flow ⋮ The inviscid limit of Navier-Stokes equations for locally near boundary analytic data on an exterior circular domain ⋮ Stability of planar exterior stationary flows with suction ⋮ Existence of planar non-symmetric stationary flows with large flux in an exterior disk ⋮ On stationary Navier-Stokes flows around a rotating obstacle in two-dimensions ⋮ ON STABILITY OF PHYSICALLY REASONABLE SOLUTIONS TO THE TWO-DIMENSIONAL NAVIER–STOKES EQUATIONS

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