Bird-Carreau型黏性van der Waals流体周期解的渐近稳定性  

Asymptotic stability of the periodic solution of Bird-Carreau type viscous van der Waals fluids

作　　者：陈肖[1] 孙颖 陈亚洲[1] 

机构地区：[1]北京化工大学理学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2018年第1期119-123,共5页Journal of Beijing University of Chemical Technology(Natural Science Edition)

基　　金：国家自然科学基金(11671027)

摘　　要：讨论了一维可压缩黏性van der Waals流体系统的渐近稳定性,其中黏性系数为满足Bird-Carreau模型的非线性函数,压力为非凸函数。通过构造能量函数并运用能量估计方法及单调算子理论,证明得出:大黏性条件下初值位于稳定区域时,以及大黏性、小扰动条件下初值位于亚稳定区域时,该类van der Waals流体的解是渐近稳定的。In this paper, the asymptotic stability of a one-dimensional compressible viscous van der Waals fluids system is discussed, where the viscosity coefficient is a nonlinear function that satisfies the Bird-Carreau model, and the pressure is a non-convex function. By constructing the energy function and using the energy estimation method and the monotone operator theory, we prove that ： under the condition of large viscosity, the solutions of the non-Newtonian fluid are asymptotically stable when the initial value is either located in the stable region, or located in the metastable region under small disturbance conditions.

关 键 词：Bird-Carreau型黏性 VAN der Waals流体 周期边界 

分 类 号：O29[理学—应用数学]