| ON THE RIGOROUS MATHEMATICAL DERIVATION FOR THE VISCOUS PRIMITIVE EQUATIONS WITH DENSITY STRATIFICATION |
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| 作者姓名： | 蒲学科 周文利 |
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| 作者单位： | School of Mathematics and Information Science, Guangzhou University |
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| 基金项目： | Pu was supported in part by the NNSF of China(11871172)；;the Science and Technology Projects in Guangzhou (202201020132)； |
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| 摘 要： | In this paper, we rigorously derive the governing equations describing the motion of a stable stratified fluid, from the mathematical point of view. In particular, we prove that the scaled Boussinesq equations strongly converge to the viscous primitive equations with density stratification as the aspect ratio goes to zero, and the rate of convergence is of the same order as the aspect ratio. Moreover, in order to obtain this convergence result, we also establish the global well-posedness of stro...
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