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Stability and Existence of Multidimensional Subsonic Phase Transitions

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Abstract

The purpose of this paper is to prove the uniform stability of multidimensional subsonic phase transitions satisfying the viscosity-capillarity criterion in a van der Waals fluid, and further to establish the local existence of phase transition solutions.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200030, China

    Ya-Guang Wang

  2. The Institute of Mathematical Sciences, the Chinese University of Hong Kong, Shatin, Hong Kong

    Ya-Guang Wang

  3. The Institute of Mathematical Sciences, the Chinese University of Hong Kong, Shatin, Hong Kong

    Zhouping Xin

Authors
  1. Ya-Guang Wang
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  2. Zhouping Xin
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Correspondence to Ya-Guang Wang.

Additional information

Supported by the Zheng Ge Ru Foundation when Ya-guang Wang was visiting the Institute of Mathematical Sciences in the Chinese University of Hong Kong. The work of Wang is also partially supported by the National Natural Science Foundation of China, the Educational Ministry of China and the Shanghai Post-Qimingxing Fund.

The work of Xin is supported in part by grants from RGC of HKSAR CUHK-4129/99P, CUHK-4279/00P and CUHK-4040/02P.

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Wang, YG., Xin, Z. Stability and Existence of Multidimensional Subsonic Phase Transitions. Acta Mathematicae Applicatae Sinica, English Series 19, 529–558 (2003). https://doi.org/10.1007/s10255-003-0130-2

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  • DOI: https://doi.org/10.1007/s10255-003-0130-2

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