Abstract
AbstractIn this paper, we consider the primitive three-dimensional viscous equations for large-scale atmosphere dynamics with topography effects and water vapor phase transition process. This modified climate model is commonly used in weather and climate predictions, and few theoretical analyses have been performed on them. The existence and uniqueness of a global strong solution to this climate model is established based on the initial data assumptions.
Funder
The Key program of the National Natural Science Foundation of China
The General Program of the National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference29 articles.
1. Cao, C.S., Li, J.K., Titi, E.S.: Local and global well-posedness of strong solutions to the 3D primitive equations with vertical eddy diffusivity. Arch. Ration. Mech. Anal. 214(1), 35–76 (2014)
2. Cao, C.S., Li, J.K., Titi, E.S.: Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. J. Differ. Equ. 257(11), 4108–4132 (2014)
3. Cao, C.S., Li, J.K., Titi, E.S.: Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. Commun. Pure Appl. Math. 69(8), 1492–1531 (2016)
4. Cao, C.S., Li, J.K., Titi, E.S.: Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity (2017) arXiv:1703.02512
5. Cao, C.S., Titi, E.S.: Global well-posedness and finite dimensional global attractor for a 3-D planetary geostrophic viscous model. Commun. Pure Appl. Math. 56(56), 198–233 (2003)
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