带有非线性项不可压Navier-Stokes方程整体性吸引子的存在性

郑治波, 张利萍, 郝晓红, 刘国旗, 孙江洁

doi:10.13371/j.cnki.chin.q.j.m.2020.01.008

数学季刊 >

2020 , Vol. 35 >Issue 1: 93 - 110

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.01.008

带有非线性项不可压Navier-Stokes方程整体性吸引子的存在性

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1.Department of MathematicSfBanshan University,Baoshan, Yunnan 67S0Q0, P. R. China;
2.Students' Affairs Division, Anhui Medical Universityf Hefei 230601, China;
3. WenZheng College Of Soochow University, 215104, China;
4.School of Health Management, Anhui Medical University 230032, China

ZHENG Zhi-bo(1985-), female, native of Tengchong, Yunnan, a lecturer of Baoshan University, M.A.,engages in application of mathematical; Corresponding author: SUN Jiang-jie (1983-), Male, native of Susong, Anhui, a associate professor of Anhui Medical University, M.A” engages in application of mathematical.

网络出版日期: 2020-08-06

基金资助

Project supported by the Baoshan College focuses on cultivating disciplines of China (Conservative government [2016] No. 91),The work was supported in part by the Joint Special Foundation on basic research in Local Colleges and Universities for the Department of Science and Technology of Yunnan Province of China under Grant No.2017FH001-106, the Natural Science Foundation of Anhui Province of China (1908085MG233), Quality Engineering for Research Projects of the Anhui Department of Education about Wisdom Classroom (2018zhktl80)t Natural Science Foundation for the Higher Education Institutions of Anhui Province of China (KJ2019A0945).The authors would like to thank all the individuals in China who offered their time and energy to participate in the investigates

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The Global Attractors for the Navier-stokes Equations with Nonlinear Perturbation in R²

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1.Department of MathematicSfBanshan University,Baoshan, Yunnan 67S0Q0, P. R. China;
2.Students' Affairs Division, Anhui Medical Universityf Hefei 230601, China;
3. WenZheng College Of Soochow University, 215104, China;
4.School of Health Management, Anhui Medical University 230032, China

Online published: 2020-08-06

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摘要

This paper is concerned with the Navier-stokes equations with nonlinear perturbation in R² which studies the existence of solution, and gets the existence of the attractors. Finally, we discuss with limit-behavior of the Navier-stokes equation4 with nonlinear perturbation, as a → 0.

关键词： The Navier-stokes equations with nonlinear perturbation; solution; maximal attractor; limit-behavior

本文引用格式

郑治波, 张利萍, 郝晓红, 刘国旗, 孙江洁 . 带有非线性项不可压Navier-Stokes方程整体性吸引子的存在性[J]. 数学季刊, 2020 , 35(1) : 93 -110 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.01.008

Abstract

Key words： The Navier-stokes equations with nonlinear perturbation; solution; maximal attractor; limit-behavior

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