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Singularity for the Drift-Flux System of Two-Phase Flow with the Generalized Chaplygin Gas

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Abstract

This article considers the formation of singularity in the one-dimensional isentropic drift-flux system of two-phase flow with the generalized Chaplygin gas. We give an appropriate initial condition that results in the formation of singularity in finite time. Notably, the formation of singularity is accompanied by the concentration of mass. Furthermore, we verify the theoretical results.

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  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People’s Republic of China

    Jun Zhang & Lihui Guo

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  1. Jun Zhang
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  2. Lihui Guo
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Correspondence to Lihui Guo.

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This work is supported by National Natural Science Foundation of China (12161084, 11961063) the Natural Science Foundation of Xinjiang, PR China(2022D01E42), Xinjiang Key Laboratory of Applied Mathematics(XJDX1401).

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Zhang, J., Guo, L. Singularity for the Drift-Flux System of Two-Phase Flow with the Generalized Chaplygin Gas. Int J Theor Phys 63, 28 (2024). https://doi.org/10.1007/s10773-024-05550-w

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