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. Copyright © 2021 Wuhan Institute of Physics and Mathematics. Published by Elsevier Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 114-126 |
| Journal | Acta Mathematica Scientia |
| Volume | 41 |
| Issue number | 1 |
| Early online date | 24 Dec 2020 |
| DOIs | |
| Publication status | Published - Jan 2021 |
Citation
Dong, J., & Yuen, M. (2021). Some special self-similar solutions for a model of inviscid liquid-gas two-phase flow. Acta Mathematica Scientia, 41(1), 114-126. doi: 10.1007/s10473-021-0107-3Keywords
- Two-phase flow
- Analytical solutions
- Self-similar
- Blowup
- Global solutions