| 海洋动力学中二维黏性原始方程组解对热源的收敛性 |
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| 引用本文： | 李远飞.海洋动力学中二维黏性原始方程组解对热源的收敛性[J].应用数学和力学,2020(3):339-352. |
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| 作者姓名： | 李远飞 |
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| 作者单位： | 广东财经大学华商学院应用数学系 |
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| 基金项目： | 广东省普通高校特色创新类项目(2018KTSCX332);广东省自然科学基金(2017A030313037)。 |
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| 摘 要： | 考虑了在一个柱形区域上的海洋动力学中二维黏性方程组解的收敛性.在此模型中存在一个关键的参数就是热源,众多周知,它的存在可能会使流体内层之间出现共振从而导致不稳定.因此,通过推导方程组的先验界,得到了方程组的解对热源自身的收敛性.
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| 关 键 词： | 海洋原始方程组 热源 收敛性 结构稳定性 |
Convergence Results on Heat Source for 2 D Viscous Primitive Equations of Ocean Dynamics |
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| LI Yuanfei.Convergence Results on Heat Source for 2 D Viscous Primitive Equations of Ocean Dynamics[J].Applied Mathematics and Mechanics,2020(3):339-352. |
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| Authors: | LI Yuanfei |
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| Institution: | (Department of Applied Mathematics,Huashang College,Guangdong University of Finance&Economics,Guangzhou 511300,P.R.China) |
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| Abstract: | The convergence of solutions to 2D viscous primitive equations of ocean dynamics in a cylindrical region was considered.A key parameter in this model is heat source,which is known to cause resonance between the inner layers of fluid and in turn trigger instability.Therefore,through derivation of the priori bounds of the equations,the convergence of solutions to the equations on the heat source itself was obtained. |
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| Keywords: | primitive equations of ocean dynamics heat source convergence structural stability |
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