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Liquid-gas coexistence equilibrium in a relaxation model

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Abstract

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.

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, 116024, Dalian, P. R. China

    Wang Ping (Lecturer, Doctor)

  2. LTCS, Department of Mechanics and Engineering Science, Peking University, 100871, Beijing, P. R. China

    Tang Shao-qiang

Authors
  1. Wang Ping
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  2. Tang Shao-qiang
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Correspondence to Wang Ping.

Additional information

Communicated by HUANG Yong-nian

Project supported by the Special Foundation for Major State Basic Research Project ‘Nonlinear Science’ (No. G2000077305) and the National Natural Science Foundation of China (Nos. 10002002 and 90407021)

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Ping, W., Shao-qiang, T. Liquid-gas coexistence equilibrium in a relaxation model. Appl Math Mech 26, 767–773 (2005). https://doi.org/10.1007/BF02465428

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  • DOI: https://doi.org/10.1007/BF02465428

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2000 Mathematics Subject Classification

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