Van der Waals型流体相变问题的渐近稳定性  

Asymptotic stability of the solution of a model system for van der Waals fluids

作　　者：袁小聪[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）》2010年第1期140-143,共4页Journal of Beijing University of Chemical Technology(Natural Science Edition)

摘　　要：研究了van der Waals流体动力学方程组,通过引入人工黏性和周期边界条件,给出了此类流体方程组解的渐近稳定性。计算了带人工黏性的定常解问题,通过局部解的存在唯一性分析和先验估计,证明了定常解在全局范围内的渐近稳定性。A model system of van der Waals fluids has been investigated, and the asymptotic stability of the solution has been established for a periodic boundary value problem with artificial viscosity. A solution of steady-state periodic boundary value problem has also been derived. By means of the existence and uniqueness of the local solution and the priori estimates, the steady-state solution is shown to have asymptotic stability.

关 键 词：Vail der Waals流体 定常问题 渐近稳定性 能量方法 

分 类 号：O175.2[理学—数学]