| 原始方程组对黏性系数的连续依赖性 |
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| 引用本文： | 李远飞.原始方程组对黏性系数的连续依赖性[J].山东大学学报(理学版),2019,54(12):12-23. |
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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, 广东 广州 511300 |
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| 基金项目： | 广东省高校特色创新资助项目(2018KTSCX332);广东省高等教育“创新强校”专项资金资助项目(HS2018CXQX24);广东教育厅重点课题资助项目(2018KZDXM048) |
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| 摘 要： | 考虑了柱形区域上带振荡随机力的大尺度海洋三维原始方程组的连续依赖性。运用微分不等式技术,推导了方程组解的先验界,采取能量分析的办法,得到了方程组的解对黏性系数的连续依赖性。
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| 关 键 词： | 先验界 连续依赖性 随机偏微分方程 |
Continuous dependence on viscosity coefficient for primitive equations |
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| LI Yuan-fei.Continuous dependence on viscosity coefficient for primitive equations[J].Journal of Shandong University,2019,54(12):12-23. |
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| Authors: | LI Yuan-fei |
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| Institution: | Huashang College, Guangdong University of Finance &Economics, Guangzhou 511300, Guangdong, China |
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| Abstract: | The continuous dependence of the solutions of the 3D primitive equations of large scale ocean under oscillating random force in a cylindrical region is considered. Using the technique of differential inequality, the a prior bounds of the solutions of the equations are derived. By the energy analysis methods, the continuous dependence on the viscosity coefficient of the solution of the three-dimensional viscous primitive equation of large-scale ocean is obtained. |
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| Keywords: | apriori bounds continuous dependence stochastic partial differential equations |
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