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.
CitationCheung, 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
- Time-dependent damping
- Compressible Euler equations
- Exponential growth
- Irrotational fluids