| 含非线性阻尼的2D g-Navier-Stokes方程解的一致渐近性北大核心CSCD |
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| 引用本文： | 王小霞. 含非线性阻尼的2D g-Navier-Stokes方程解的一致渐近性北大核心CSCD[J]. 应用数学和力学, 2022, 43(4): 416-423. DOI: 10.21656/1000-0887.410398 |
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| 作者姓名： | 王小霞 |
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| 作者单位： | 延安大学 数学与计算机科学学院，陕西 延安 716000 |
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| 基金项目： | 国家自然科学基金(11971378)；;陕西省自然科学基金(2018JM1042)； |
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| 摘 要： | 研究了有界区域上含非线性阻尼的2D g-Navier-Stokes方程解的一致渐近性,通过证明过程族的一致吸收集存在和一致条件(C)成立,得到了含非线性阻尼的2D g-Navier-Stokes方程一致吸引子存在.
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| 关 键 词： | g-Navier-Stokes方程 一致条件(C) 一致渐近性 |
| 收稿时间： | 2020-12-31 |
Uniform Asymptoticity of the Solution to the 2D g-Navier-Stokes Equation With Nonlinear Damping |
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| Wang X.. Uniform Asymptoticity of the Solution to the 2D g-Navier-Stokes Equation With Nonlinear Damping[J]. Applied Mathematics and Mechanics, 2022, 43(4): 416-423. DOI: 10.21656/1000-0887.410398 |
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| Authors: | Wang X. |
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| Affiliation: | College of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi 716000, P.R.China |
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| Abstract: | The uniform asymptoticity of the 2D g-Navier-Stokes equation with nonlinear damping in a bounded domain was studied. The existence of the uniform absorption set of the process family and the satisfaction of the uniform condition (C) were proved, and the uniform attractors of the 2D g-Navier-Stokes equation with nonlinear damping were obtained. |
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| Keywords: | g-Navier-Stokes equation Uniform asymptoticity Uniform condition (C) |
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