数学季刊（英文版）
數學季刊（英文版）
수학계간（영문판）
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2009年
3期
445-452
,共8页
赵才地%李用声%周盛凡
趙纔地%李用聲%週盛凡
조재지%리용성%주성범
Navier-Stokes equations%global attractor%asymptotic smoothing effect%linear damping
This paper studies the long time behavior of solutions to the Navier-Stokes equations with linear damping on R2.The authors prove the existence of L2-global attractor and H1-global attractor by showing that the corresponding semigroup is asymptotically compact.Thereafter,they establish that the two attractors are the same and thus reveal the asymptotic smoothing effect of the solutions.
