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阻尼Navier-Stokes方程全局吸引子的正則性(英文)

發(fā)布時間:2022-10-15 16:45
  本文研究阻尼Navier-Stokes方程全局吸引子問題.利用迭代法和線性算子半群的正則性估計,結(jié)合經(jīng)典的全局吸引子理論,證明了阻尼NS方程在Hk空間中存在全局吸引子,并在Hk范數(shù)下吸引任意有界集. 

【文章頁數(shù)】:6 頁

【參考文獻】:
期刊論文
[1]The Existence of Global Attractors for 2D Navier-Stokes Equations in Hk Spaces[J]. Yin Di ZHANG Ling Yu SONGFaculty of Science, Xi’an Jiaotong University, Xi’an 710049, P. R. ChinaandSchool of Science, Chang’an University, Xi’an 710064, P. R. China Tian MAMathematical College, Si’chuan University, Chengdu 610064, P. R. China.  Acta Mathematica Sinica(English Series). 2009(01)
[2]ON THE EXISTENCE OF GLOBAL ATTRACTOR FOR A CLASS OF INFINITE DIMENSIONAL DISSIPATIVE NONLINEAR DYNAMICAL SYSTEMS[J]. ZHONG CHENGKUI SUN CHUNYOU NIU MINGFEI School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China..  Chinese Annals of Mathematics. 2005(03)



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