Global Strong Solutions and Large-time Behavior of 2D Tropical Climate Model

Niu, Dong-juan; Wang, Ying

doi:10.1007/s10255-023-1090-3

Acta Math. Appl. Sin. Engl. Ser.

2023

DOI: 10.1007/s10255-023-1090-3

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Global Strong Solutions and Large-time Behavior of 2D Tropical Climate Model

Dong-juan Niu,

Ying Wang

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2024

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Global Well-Posedness of the Fractional Tropical Climate Model

2024

JAMP

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In this paper, we consider the Cauchy problem of 3-dimensional tropical climate model. This model reflects the interaction and coupling among the barotropic mode u, the first baroclinic mode v of the velocity and the temperature θ . The systems with fractional dissipation studied here may arise in the modeling of geophysical circumstances. Mathematically these systems allow simultaneous examination of a family of systems with various levels of regularization. The aim here is the global strong solution with the least dissipation. By energy estimate and delicate analysis, we prove the existence of global solution under three different cases: first, with the help of damping terms, the global strong solution of the system with 2 u α Λ , 2 v β Λ and 2γ θ Λ for 3 1 4

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Global Well-Posedness of the Fractional Tropical Climate Model

2024

JAMP

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Global Strong Solutions and Large-time Behavior of 2D Tropical Climate Model

Cited by 1 publication

References 25 publications

Global Well-Posedness of the Fractional Tropical Climate Model

Global Well-Posedness of the Fractional Tropical Climate Model

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