A new regularity criterion for the 3D tropical climate model involving partial velocity component in Lorentz space

In this paper, we find a new regularity criterion of the 3D tropical climate model in terms of one component of the barotropic velocity. Our criteria of the velocity field improve the previous result by Berti et al. Moreover, we extend the regularity criteria of the Lebesgue spaces to that of larger...

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Published in:Mathematical methods in the applied sciences 2025-01, Vol.48 (1), p.65-75
Main Authors: Eguchi, Taichi, Ren, Denghui
Format: Article
Language:English
Subjects:
Climate models
Criteria
partial component
Regularity
regularity criterion
tropical climate mode
Upper bounds
Velocity distribution
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description In this paper, we find a new regularity criterion of the 3D tropical climate model in terms of one component of the barotropic velocity. Our criteria of the velocity field improve the previous result by Berti et al. Moreover, we extend the regularity criteria of the Lebesgue spaces to that of larger Lorentz spaces. The key of this paper is by using interaction between partial and usual H1$$ {H}^1 $$ estimate to get upper bound of velocities.
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subjects Climate models
Criteria
partial component
Regularity
regularity criterion
tropical climate mode
Upper bounds
Velocity distribution
title A new regularity criterion for the 3D tropical climate model involving partial velocity component in Lorentz space
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