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.
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