On classical solutions of the compressible Euler equations for generalized Chaplygin gas with qualitative analysis

Ka Luen CHEUNG, Sen WONG

Research output: Contribution to journalArticlespeer-review

Abstract

In this paper, exact classical solutions of the original three-dimensional compressible Euler equations for generalized Chaplygin gas are constructed by means of the ansatz of the fluid velocity u(t, x) = A(t) A⁻¹ (t) x . The qualitative analysis of a matrix ordinary differential equation reveals that the obtained exact solutions induce both unique smooth global-in-time and finite-time blowup exact solutions for given initial data. Moreover, the blowup mechanisms in the induced examples are discussed. Copyright © 2023 Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.

Original languageEnglish
JournalVietnam Journal of Mathematics
Early online dateSept 2023
DOIs
Publication statusE-pub ahead of print - Sept 2023

Citation

Cheung, K. L., & Wong, S. (2023). On classical solutions of the compressible Euler equations for generalized Chaplygin gas with qualitative analysis. Vietnam Journal of Mathematics. Advance online publication. https://doi.org/10.1007/s10013-023-00651-1

Keywords

  • Euler equations
  • Global-in-time
  • Generalized Chaplygin gas
  • Finite-time blowup
  • Exact solutions

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