On finite-time blowup mechanism of irrotational compressible Euler equations with time-dependent damping

Ka Luen CHEUNG, Sen WONG

Research output: Contribution to journalArticlespeer-review

Abstract

In this paper, sufficient initial conditions for finite-time blowup of smooth solutions of the irrotational compressible Euler equations with time-dependent damping are established. Our blowup conditions reveal that for sufficiently large initial velocity, fixed background density and with no largeness assumption on the initial density, the velocity of the fluid must collapse in finite time on some subset of general Euclidean space with non-zero Lebesgue measure. Copyright © 2020 Informa UK Limited, trading as Taylor & Francis Group.
Original languageEnglish
JournalApplicable Analysis
Early online date22 Nov 2020
DOIs
Publication statusE-pub ahead of print - 22 Nov 2020

Citation

Cheung, K. L., & Wong, S. (2020). On finite-time blowup mechanism of irrotational compressible Euler equations with time-dependent damping. Applicable Analysis. Advance online publication. doi: 10.1080/00036811.2020.1852218

Keywords

  • Blowup
  • Time-dependent damping
  • Compressible Euler equations
  • Exponential growth
  • Irrotational fluids

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