Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation
Journal of Differential Equations
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Cao, C., Guo, Y., & Titi, E. (2020). Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation. Journal of Differential Equations, 269 (10), 8736-8769. https://doi.org/10.1016/j.jde.2020.06.033
We study a three-dimensional fluid model describing rapidly rotating convection that takes place in tall columnar structures. The purpose of this model is to investigate the cyclonic and anticyclonic coherent structures. Global existence, uniqueness, continuous dependence on initial data, and large-time behavior of strong solutions are shown provided the model is regularized by a weak dissipation term.
Einstein Stiftung/Foundation - Berlin and John Simon Guggenheim Memorial Foundation.
External DOI: https://doi.org/10.1016/j.jde.2020.06.033
This record's URL: https://www.repository.cam.ac.uk/handle/1810/306713
Attribution-NonCommercial-NoDerivatives 4.0 International
Licence URL: https://creativecommons.org/licenses/by-nc-nd/4.0/