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WAVE INTERACTIONS IN SULICIU MODEL FOR DYNAMIC PHASE TRANSITIONS
作者姓名:唐少强  钱璟  肖珺
作者单位:LTCS,LTCS,LTCS Department of Mechanics and Engineering Science,Peking University Beijing 100871,P.R.China,Department of Mechanics and Engineering Science,Peking University Beijing 100871,P.R.China,Department of Mechanics and Engineering Science,Peking University Beijing 100871,P.R.China
摘    要:Elementary waves in Suliciu model for dynamic phase transitions are obtained through traveling wave analysis.For any given initial data with two pieces of constant states,the Riemann solutions are constructed as a combination of elementary waves. When the initial profile contains three pieces of constant states,the solution may be constructed from the Riemann solutions,with each two adjacent states connected by elementary waves.A new Riemann problem forms when these two waves collide.Through the exploration of these Riemann problems,the outcome of wave interactions may be classified in a suitable parametric space.

关 键 词:波干扰  动态相位转换  物质波  黎曼分析
收稿时间:2004-05-17
修稿时间:2005-09-21

Wave interactions in suliciu model for dynamic phase transitions
Shao-qiang Tang,Jing Qian,Jun Xiao.WAVE INTERACTIONS IN SULICIU MODEL FOR DYNAMIC PHASE TRANSITIONS[J].Applied Mathematics and Mechanics(English Edition),2006,27(1):91-98.
Authors:Shao-qiang Tang  Jing Qian  Jun Xiao
Institution:LTCS, Department of Mechanics and Engineering Science, Peking University Beijing 100871, P. R. China
Abstract:Elementary waves in Suliciu model for dynamic phase transitions are obtained through traveling wave analysis. For any given initial data with two pieces of constant states, the Riemann solutions are constructed as a combination of elementary waves. When the initial profile contains three pieces of constant states, the solution may be constructed from the Riemann solutions, with each two adjacent states connected by elementary waves. A new Riemann problem forms when these two waves collide. Through the exploration of these Riemann problems, the outcome of wave interactions may be classified in a suitable parametric space.
Keywords:phase transition  Suliciu model  wave interaction
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