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@article{Crisan:2023:10.1007/s00332-023-09943-9,
author = {Crisan, D and Holm, DD and Luesink, E and Mensah, PR and Pan, W},
doi = {10.1007/s00332-023-09943-9},
journal = {Journal of Nonlinear Science},
title = {Theoretical and computational analysis of the thermal quasi-geostrophic model},
url = {http://dx.doi.org/10.1007/s00332-023-09943-9},
volume = {33},
year = {2023}
}

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TY  - JOUR
AB  - This work involves theoretical and numerical analysis of the thermal quasi-geostrophic(TQG) model of submesoscale geophysical fluid dynamics (GFD). Physically, theTQG model involves thermal geostrophic balance, in which the Rossby number, theFroude number and the stratification parameter are all of the same asymptotic order.The main analytical contribution of this paper is to construct local-in-time uniquestrong solutions for the TQG model. For this, we show that solutions of its regularisedversion α-TQG converge to solutions of TQG as its smoothing parameter α → 0and we obtain blow-up criteria for the α-TQG model. The main contribution of thecomputational analysis is to verify the rate of convergence of α-TQG solutions to TQGsolutions as α → 0, for example, simulations in appropriate GFD regimes.
AU  - Crisan,D
AU  - Holm,DD
AU  - Luesink,E
AU  - Mensah,PR
AU  - Pan,W
DO  - 10.1007/s00332-023-09943-9
PY  - 2023///
SN  - 0938-8974
TI  - Theoretical and computational analysis of the thermal quasi-geostrophic model
T2  - Journal of Nonlinear Science
UR  - http://dx.doi.org/10.1007/s00332-023-09943-9
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:001049805900001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
UR  - https://link.springer.com/article/10.1007/s00332-023-09943-9
UR  - http://hdl.handle.net/10044/1/109005
VL  - 33
ER  -

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