Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model.

Autor: Crisan D; Department of Mathematics, Imperial College, London, SW7 2AZ UK., Holm DD; Department of Mathematics, Imperial College, London, SW7 2AZ UK., Luesink E; Department of Mathematics, University of Twente, 7500 AE Enschede, The Netherlands., Mensah PR; Department of Mathematics, Imperial College, London, SW7 2AZ UK., Pan W; Department of Mathematics, Imperial College, London, SW7 2AZ UK.
Jazyk: angličtina
Zdroj: Journal of nonlinear science [J Nonlinear Sci] 2023; Vol. 33 (5), pp. 96. Date of Electronic Publication: 2023 Aug 16.
DOI: 10.1007/s00332-023-09943-9
Abstrakt: This work involves theoretical and numerical analysis of the thermal quasi-geostrophic (TQG) model of submesoscale geophysical fluid dynamics (GFD). Physically, the TQG model involves thermal geostrophic balance, in which the Rossby number, the Froude 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 unique strong solutions for the TQG model. For this, we show that solutions of its regularised version α -TQG converge to solutions of TQG as its smoothing parameter α → 0 and we obtain blow-up criteria for the α -TQG model. The main contribution of the computational analysis is to verify the rate of convergence of α -TQG solutions to TQG solutions as α → 0 , for example, simulations in appropriate GFD regimes.
Competing Interests: Conflict of interestThe authors have no competing interests to declare that are relevant to the content of this work. All authors certify that they have no affiliations with or involvement in any organisation or entity with any financial interest or non-financial interest in the subject matter or materials discussed in this manuscript.
(© The Author(s) 2023.)
Databáze: MEDLINE
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