一类三维不可压非牛顿流的轨道吸引子

赵才地, 吴鹤灵, 李楚进

数学学报 ›› 2015, Vol. 58 ›› Issue (1) : 1-12.

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数学学报 ›› 2015, Vol. 58 ›› Issue (1) : 1-12. DOI: 10.12386/A2015sxxb0001
论文

一类三维不可压非牛顿流的轨道吸引子

    赵才地1, 吴鹤灵1, 李楚进2
作者信息 +

Trajectory Attractor for a Class of Three-Dimensional Incompressible Non-Newtonian Fluids

    Cai Di ZHAO1, He Ling WU1, Chu Jin LI2
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文章历史 +

摘要

讨论了一类自治不可压非牛顿流方程组在三维有界区域上解的轨道渐近行为,证明了该类方程组在适当的拓扑空间中存在轨道吸引子.

Abstract

This paper studies the trajectory asymptotic behavior of solutions for equations of a class of three-dimensional autonomous and incompressible non-Newtonian fluids. The authors prove the existence of the trajectory attractor for this class of equations in an appropriate topological space.

关键词

不可压非牛顿流方程组 / 轨道吸引子 / 拓扑空间

Key words

equations of incompressible non-Newtonian fluid / trajectory attractor / topological space

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赵才地, 吴鹤灵, 李楚进. 一类三维不可压非牛顿流的轨道吸引子. 数学学报, 2015, 58(1): 1-12 https://doi.org/10.12386/A2015sxxb0001
Cai Di ZHAO, He Ling WU, Chu Jin LI. Trajectory Attractor for a Class of Three-Dimensional Incompressible Non-Newtonian Fluids. Acta Mathematica Sinica, Chinese Series, 2015, 58(1): 1-12 https://doi.org/10.12386/A2015sxxb0001

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基金

国家自然科学基金资助项目(11271290)

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