TANG Shao-qiang, QIAN Jing, XIAO Jun. Wave Interactions in Suliciu Model for Dynaimc Phase Transitions[J]. Applied Mathematics and Mechanics, 2006, 27(1): 82-88.
Citation: TANG Shao-qiang, QIAN Jing, XIAO Jun. Wave Interactions in Suliciu Model for Dynaimc Phase Transitions[J]. Applied Mathematics and Mechanics, 2006, 27(1): 82-88.

Wave Interactions in Suliciu Model for Dynaimc Phase Transitions

  • Received Date: 2004-05-17
  • Rev Recd Date: 2005-09-21
  • Publish Date: 2006-01-15
  • 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.
  • loading
  • [1]
    Wilson K G.The renormalization group and critical phenomena[J].Reviews of Modern Physics,1983,55(3):583—600. doi: 10.1103/RevModPhys.55.583
    [2]
    Hsieh D Y,Tang S,Wang X P.On hydrodynamic instability, chaos, and phase transition[J].Acta Mechanica Sinica,1996,12(1):1—14. doi: 10.1007/BF02486757
    [3]
    Faciu C,Suliciu I.A maxwell model for pseudoelastic materials[J].Scripta Metallurgica et Materialia,1994,31(10):1399—1404. doi: 10.1016/0956-716X(94)90125-2
    [4]
    Natalini R, Tang S. Discrete kinetic models for dynamical phase transitions [J].Communication on Applied Nonlinear Analysis,2000,7(2):1—32.
    [5]
    Qian J.非线性数值分析中的两个问题[D].硕士论文.北京:北京大学2003,1—35.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2285) PDF downloads(501) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return