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.
出处
《北京化工大学学报（自然科学版）》
CAS
CSCD
北大核心
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)
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
non-ideal fluids
steady-state problem
asymptotic stability
variation principle
energy method
