含非线性阻尼的2D <i>g</i>-Navier-Stokes方程解的一致渐近性

王小霞

doi:10.21656/1000-0887.410398

含非线性阻尼的2D g-Navier-Stokes方程解的一致渐近性

doi: 10.21656/1000-0887.410398

王小霞

延安大学数学与计算机科学学院，陕西延安 716000

基金项目: 国家自然科学基金(11971378)；陕西省自然科学基金(2018JM1042)；陕西省大学生创新创业训练计划（S202110719115）

详细信息

作者简介:
王小霞（1978—），女，副教授，硕士，硕士生导师（E-mail：yd-wxx@163.com）

中图分类号: O175; O35
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- 文章访问数: 547
- HTML全文浏览量: 285
- PDF下载量: 46
- 被引次数: 0
出版历程
- 收稿日期: 2020-12-31
- 录用日期: 2021-10-10
- 修回日期: 2021-10-10
- 网络出版日期: 2022-03-16
- 刊出日期: 2022-04-01

Uniform Asymptoticity of the Solution to the 2D g-Navier-Stokes Equation With Nonlinear Damping

WANG Xiaoxia

College of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi 716000, P.R.China

摘要

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。
- g-Navier-Stokes 方程 /
- 一致条件(C) /
- 一致渐近性
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.
- g-Navier-Stokes equation /
- uniform condition (C) /
- uniform asymptoticity

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参考文献(21)

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