2013/11/23 by Chongsheng Cao, Cao, Chongsheng, Aseel Farhat +3
Engineering · Mathematics · Physics and Astronomy · #35Q35 #76B03 #86A10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph) #Navier-Stokes equation solutions #math.AP #msc:35Q35 #msc:76B03 #msc:86A10 #physics.ao-ph #physics.flu-dyn #physics.geo-ph
paper · pdf · doi:10.48550/arxiv.1311.6064
arxiv created 2013/11/23 · openalex publication_date 2013/11/23 · arxiv updated 2013/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish, for smooth enough initial data, the global well-posedness (existence, uniqueness and continuous dependence on initial data) of solutions, for an inviscid three-dimensional \it slow limiting ocean dynamics model. This model was derived as a strong rotation limit of the rotating and stratified Boussinesg equations with periodic boundary conditions. To establish our results we utilize the tools developed for investigating the two-dimensional incompressible Euler equations and linear transport equations. Using a weaker formulation of the model we also show the global existence and uniqueness of solutions, for less regular initial data.