Abstract
In this paper, the initial-boundary value problem of the multidimensional compressible Euler equations with time-dependent damping in radial symmetry is considered. It is shown that finite-time singularity will be developed for the solutions of the compressible Euler equations with time-dependent damping coefficients
if the initial value of a newly introduced functional,
with a time-dependent parameter
is sufficiently large. The blowup conditions imply that the initial kinetic energy of the fluid must not be less than a given constant.
Disclosure statement
No potential conflict of interest was reported by the authors.