非理想流体一维流动的渐近稳定性  

Asymptotic stability for one-dimensional motion of non-ideal fluids

作　　者：王子贤[1] 陈亚洲[1] 施小丁[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）》2011年第3期139-143,共5页Journal of Beijing University of Chemical Technology(Natural Science Edition)

基　　金：国家自然科学基金(10971215)

摘　　要：研究了带人工黏性的非理想流体动力学方程组的周期边值问题,给出了此类流体方程组全局解的存在性,通过能量估计方法,证明了该问题的全局解渐近收敛到定常问题的解。A model system of non-ideal fluids with artificial viscosity and a periodic boundary value problem has been investigated and the existence and asymptotic stabilities of the global solutions of the fluids have been proved.By the energy method,the steady-state solution has been shown to have asymptotic stability.

关 键 词：非理想流体 定常问题 渐近稳定性 变分原理 能量方法 

分 类 号：O175.2[理学—数学]