In this paper, we analyse a 3D Tropical Climate Model that potentially includes damping terms in the equations governing the barotropic and first baroclinic modes of the velocity. We establish a blow-up criterion based on the time-integrability of the spatial bounded mean oscillation-norm of the local strong solution, considering both the presence and absence of damping effects.
Remark on a blow-up criterion for the 3D viscous Tropical Climate Model in the BMO space
Berti D.;
2025-01-01
Abstract
In this paper, we analyse a 3D Tropical Climate Model that potentially includes damping terms in the equations governing the barotropic and first baroclinic modes of the velocity. We establish a blow-up criterion based on the time-integrability of the spatial bounded mean oscillation-norm of the local strong solution, considering both the presence and absence of damping effects.
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