松弛模型中的液气共存平衡态  

Liquid-Gas Coexistence Equilibrium in a Relaxation Model

作　　者：王平[1] 唐少强[2] 

机构地区：[1]大连理工大学工程力学系工业装备结构分析国家重点实验室,大连116024 [2]北京大学力学与工程科学系湍流国家重点实验室,北京100871

出　　处：《应用数学和力学》2005年第6期707-713,共7页Applied Mathematics and Mechanics

基　　金：国家重点基础研究专项基金资助项目'非线性科学'(G2000077305);国家自然科学基金资助项目(10002002;90407021)

摘　　要：　对密闭的一维有限长管道里的等温相变,研究了松弛模型中液气共存平衡态的稳定性·　使用匹配渐近展开形式上推出了一阶扰动满足的线性系统·　理论分析发现,初始小扰动通常会被耗散掉,然而在一些特殊情况下。Stability of liquid_gas coexistence equilibrium in a relaxation model for isothermal phase transition in a sealed one_dimensional tube was discussed. With matched asymptotic expansion, a linear system for first order perturbations was derived formally. By solving this system analytically, it is shown that small initial perturbations are damped out in general; yet they may maintain at certain level for special cases. Numerical evidence is presented. This manifests the regularization effects of relaxation.

关 键 词：相变 松弛 匹配渐近展开 

分 类 号：O359.1[理学—流体力学]