The dynamics of the gradient of potential vorticity

DOI10.1088/1751-8113/43/17/172001zbMath1278.76017arXiv0911.1476OpenAlexW2005184409MaRDI QIDQ3560979

Darryl D. Holm, John D. Gibbon

Publication date: 17 May 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1476

zbMATH Keywords

Navier-Stokes equationsoceanographyhydrologymagnetohydrodynamics and electrohydrodynamicsStokes and Navier-Stokes equationsviscous vortex flowsmeteorology and atmospheric physicshydrography

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Magnetohydrodynamics and electrohydrodynamics (76W05) Meteorology and atmospheric physics (86A10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (6)

Generalized Ertel’s theorem and infinite hierarchies of conserved quantities for three-dimensional time-dependent Euler and Navier–Stokes equations ⋮ Study of the 3D Euler equations using Clebsch potentials: dual mechanisms for geometric depletion ⋮ The 3D incompressible Euler equations with a passive scalar: a road to blow-up? ⋮ Tracking vortex surfaces frozen in the virtual velocity in non-ideal flows ⋮ Modelling the growth rate of a tracer gradient using stochastic differential equations ⋮ The gradient of potential vorticity, quaternions and an orthonormal frame for fluid particles

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