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Some special self-similar solutions for a model of inviscid liquid-gas two-phase flow

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Abstract

In this article, we are concerned with analytical solutions for a model of inviscid liquid-gas two-phase flow. On the basis of Yuen’s works [25, 27–29] on self-similar solutions for compressible Euler equations, we present some special self-similar solutions for a model of inviscid liquid-gas two-phase flow in radial symmetry with and without rotation, and in elliptic symmetry without rotation. Some blowup phenomena and the global existence of the solutions obtained are classified.

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Authors and Affiliations

  1. School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, 450015, China

    Jianwei Dong

  2. Department of Mathematics and Information Technology, The Education University of Hong Kong, 10 Lo Ping Road, Tai Po, New Territories, Hong Kong, China

    Manwai Yuen

Authors
  1. Jianwei Dong
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  2. Manwai Yuen
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Correspondence to Manwai Yuen.

Additional information

The research was supported by the Project of Youth Backbone Teachers of Colleges and Universities in Henan Province (2019GGJS176), the Natural Science Foundation of Henan Province Science and Technology Department (162300410077), the Outstanding Youth Foundation of Science and Technology Innovation of Henan Province (2018JQ0004), the Aeronautical Science Foundation of China (2017ZD55014), the Basic Research Projects of Key Scientific Research Projects Plan in Henan Higher Education Institutions (20zx003), and the Internal Research Grant from the Education University of Hong Kong (RG 15/2018-2019R).

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Dong, J., Yuen, M. Some special self-similar solutions for a model of inviscid liquid-gas two-phase flow. Acta Math Sci 41, 114–126 (2021). https://doi.org/10.1007/s10473-021-0107-3

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  • DOI: https://doi.org/10.1007/s10473-021-0107-3

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