Global existence for a 3D Tropical Climate Model with damping and small initial data in $\dot H^{1/2}(\mathbb{R}^3)$
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866911589504909312 |
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| author | Berti, Diego Bisconti, Luca Catania, Davide |
| author_facet | Berti, Diego Bisconti, Luca Catania, Davide |
| contents | 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 $θ$ is free from dampings. We prove global existence in time for this system assuming the initial data $(u_0, v_0,θ_0)$ small, in terms of the homogeneous space $\dot H^{1/2}(\mathbb{R}^3)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07964 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Global existence for a 3D Tropical Climate Model with damping and small initial data in $\dot H^{1/2}(\mathbb{R}^3)$ Berti, Diego Bisconti, Luca Catania, Davide Analysis of PDEs 35Q35, 76D03, 35Q30, 35B65 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 $θ$ is free from dampings. We prove global existence in time for this system assuming the initial data $(u_0, v_0,θ_0)$ small, in terms of the homogeneous space $\dot H^{1/2}(\mathbb{R}^3)$. |
| title | Global existence for a 3D Tropical Climate Model with damping and small initial data in $\dot H^{1/2}(\mathbb{R}^3)$ |
| topic | Analysis of PDEs 35Q35, 76D03, 35Q30, 35B65 |
| url | https://arxiv.org/abs/2305.07964 |