Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere

DOI10.1007/s00205-022-01791-3zbMath1500.76033arXiv2109.08797OpenAlexW3199458165WikidataQ113906097 ScholiaQ113906097MaRDI QIDQ2149088

Adrian Constantin, Pierre Germain

Publication date: 28 June 2022

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

Full work available at URL: https://arxiv.org/abs/2109.08797

zbMATH Keywords

Laplace-Beltrami operatorglobal bifurcationlocal bifurcationRossby-Haurwitz wavegeneralized Arnold stability criterionRossby-Haurwitz stationary solution

Mathematics Subject Classification ID

Meteorology and atmospheric physics (86A10) Planetary atmospheres (85A20) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Stability and instability of geophysical and astrophysical flows (76E20) Geophysical flows (76U60) Rossby waves (76U65)

Related Items (12)

Preface to the special issue on analysis of geophysical phenomena ⋮ On the nonexistence of positive solution to \(\Delta u + au^{p+1} = 0\) on Riemannian manifolds ⋮ A steady azimuthal stratified flow modelling the antarctic circumpolar current ⋮ Fine asymptotic expansion of the ODE's flow ⋮ On Saturn's six-sided polar jet stream ⋮ On zonal steady solutions to the 2D Euler equations on the rotating unit sphere ⋮ Positive solutions of sublinear Emden-Fowler equation ⋮ Gradient estimate for solutions of the equation \(\Delta_p v +av^q=0\) on a complete Riemannian manifold ⋮ Positive solutions of semilinear Schrödinger equations in two-dimensional exterior domains ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ Classification of radial solutions to \(-\Delta_g u = e^u\) on Riemannian models ⋮ Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part

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