2D Navier-Stokes方程的渐近吸引子
2D Navier-Stokes방정적점근흡인자
The Asymptotic Attractor of 2D Navier-Stokes Equation
  • 万方数据
    数学研究 수학연구
    JOURNAL OF MATHEMATICAL STUDY
    2007年 3期 251-257 ,共7页

    赵磊娜%张兴友%刑庭莉

    조뢰나%장흥우%형정리

    Navier-Stokes方程%渐近吸引子%整体吸引子 Navier-Stokes方程%漸近吸引子%整體吸引子
    Navier-Stokes방정%점근흡인자%정체흡인자
    2D Navier-Stokes equations%global attractor%asymptotic attractor
    考虑了2D周期边界条件下Navier-Stokes方程渐近吸引子,即构造了一个有限维解序列,首先证明了该序列不会远离方程的整体吸引子,然后证明了它在长时间后无限趋于方程的整体吸引子,并给出了渐近吸引子的维数估计.
    고필료2D주기변계조건하Navier-Stokes방정점근흡인자,즉구조료일개유한유해서렬,수선증명료해서렬불회원리방정적정체흡인자,연후증명료타재장시간후무한추우방정적정체흡인자,병급출료점근흡인자적유수고계.
    The asymptotic attractor of 2D Navier-Stokes equation with periodic boundary conditions is studied, and some estimates on the dimension of the asymptotic attractor are given.
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