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

Jianwei DONG, Man Wai YUEN

Research output: Contribution to journalArticlespeer-review

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 languageEnglish
Pages (from-to)114-126
JournalActa Mathematica Scientia
Volume41
Issue number1
Early online date24 Dec 2020
DOIs
Publication statusPublished - 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/s10473-021-0107-3

Keywords

  • Two-phase flow
  • Analytical solutions
  • Self-similar
  • Blowup
  • Global solutions

Fingerprint Dive into the research topics of 'Some special self-similar solutions for a model of inviscid liquid-gas two-phase flow'. Together they form a unique fingerprint.