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阻尼Navier-Stokes方程全局吸引子的正则性(英文)

发布时间:2022-10-15 16:45
  本文研究阻尼Navier-Stokes方程全局吸引子问题.利用迭代法和线性算子半群的正则性估计,结合经典的全局吸引子理论,证明了阻尼NS方程在Hk空间中存在全局吸引子,并在Hk范数下吸引任意有界集. 

【文章页数】:6 页

【参考文献】:
期刊论文
[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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