The dynamics of the gradient of potential vorticity
نویسنده
چکیده
The transport of the potential vorticity gradient ∇q along surfaces of constant potential temperature θ is investigated for the stratified Euler, Navier–Stokes and hydrostatic primitive equations of the oceans and atmosphere, in terms of the divergence-less flux vector B = ∇Q(q)×∇θ , for any smooth function Q of the potential vorticity q. The flux vector B is shown to satisfy a transport equation reminiscent of that for magnetic field flux in magnetohydrodynamics. The result may apply to satellite observations of potential vorticity and potential temperature at the tropopause. PACS numbers: 47.10.−g, 47.10.−A, 92.60.Aa, 92.60.Xg
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