| 多值半流理论及其在三维Navier-Stokes方程中的应用 |
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| 引用本文： | 宋雪丽,侯延仁.多值半流理论及其在三维Navier-Stokes方程中的应用[J].纯粹数学与应用数学,2009,25(4):737-742. |
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| 作者姓名： | 宋雪丽 侯延仁 |
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| 作者单位： | 1. 西安交通大学理学院,陕西,西安,710049;西安科技大学理学院,陕西,西安,710054
2. 西安交通大学理学院,陕西,西安,710049 |
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| 摘 要： | 利用多值半流方法研究三维有界区域上Navier-Stokes方程的全局吸引子,证得了多值半流的一些性质,并将这些性质应用于三维Navier-Stokes方程,得出了弱解的几种全局吸引子.从而表明在三维情形,通过多值半流来研究Navier-Stokes方程的全局吸引子是可行的.
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| 关 键 词： | Navier-Stokes方程 多值半流 吸引子 |
The theory of multi-valued semiflow and its application to three-dimensional Navier-Stokes equations |
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| SONG Xue-li,HOU Yan-ren.The theory of multi-valued semiflow and its application to three-dimensional Navier-Stokes equations[J].Pure and Applied Mathematics,2009,25(4):737-742. |
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| Authors: | SONG Xue-li HOU Yan-ren |
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| Institution: | SONG Xue-li 1,2,HOU Yan-ren 1 (1.College of Science,Xi'an Jiaotong University,Xi'an 710049,China,2.College of Science,Xi'an University of Science , Technology,Xi'an 710054,China) |
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| Abstract: | This paper is using the multi-valued semiflow method to study the attractor of three-dimensional Navier-Stokes equation on some bounded domains,some properties of multi-valued semiflow are obtained.Then,applying these properties to three-dimensional Navier-Stokes equations,several global attractors of weak solutions are obtained.So,it indicate that using multi-valued semiflow to study the global attractor of Navier-Stokes equation in three-dimensional case is feasible. |
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| Keywords: | Navier-Stokes equation multi-valued semiflow global attractor |
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