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arXiv · 2305.07964

Global existence for a 3D Tropical Climate Model with damping and small initial data in $\dot H^{1/2}(\mathbb{R}^3)$

Diego Berti·Luca Bisconti·Davide Catania
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Abstract

We consider a 3D Tropical Climate Model with damping terms in the equation of the barotropic mode $u$ and in the equation of the first baroclinic mode $v$ of the velocity. The equation for the temperature $\theta$ is free from dampings. We prove global existence in time for this system assuming the initial data $(u_0, v_0,\theta_0)$ small, in terms of the homogeneous space $\dot H^{1/2}(\mathbb{R}^3)$.

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Diego Berti, Luca Bisconti, Davide Catania. 2023-05-13. Global existence for a 3D Tropical Climate Model with damping and small initial data in $\dot H^{1/2}(\mathbb{R}^3)$. https://doi.org/10.1093/imamat%2Fhxaf024

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