Universal Attractors¶for the Navier-Stokes Equations¶of Compressible and Heat-Conductive Fluid¶in Bounded Annular Domains in ℝn
Universal Attractors¶for the Navier-Stokes Equations¶of Compressible and Heat-Conductive Fluid¶in Bounded Annular Domains in ℝn
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DOI：
10.1007/s002050100163
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发表时间：
2001-11
影响因子：
2.5
通讯作者：
Songmu Zheng;Yuming Qin
中科院分区：
文献类型：
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作者：
Songmu Zheng;Yuming Qin
本文研究有界环形区域Ωnin <$n（n= 2，3）中多方粘性导热理想气体的Navier-Stokes方程的动力学性质.这个问题的一个重要特征是我们所研究的度量空间H（1）和H（2）是两个不完全度量空间，这可以从约束θ >0和u> 0看出，其中θ和u分别是绝对温度和比容。对满足一定条件的任意常数δ1，δ2，δ3，δ4，δ 5，找到了两个闭子空间序列H（i）δ <$H（i）（i= 1，2），证明了H（1）δ和H（2）δ中存在两个（极大）泛吸引子.
This paper is concerned with the dynamics for the Navier-Stokes equations for a polytropic viscous heat-conductive ideal gas in bounded annular domains Ωnin ℝn(n= 2, 3). One of the important features of this problem is that the metric spacesH(1)andH(2)we work with are two incomplete metric spaces, as can be seen from the constraints θ >0 andu> 0, withθ andubeing absolute temperature and specific volume respectively. For any constants δ1, δ2, δ3, δ4, δ5satisfying certain conditions, two sequences of closed subspacesH(i)δ⊂H(i)(i= 1,2) are found, and the existence of two (maximal) universal attractors inH(1)δandH(2)δis proved.