Classical Solutions for 1D Compressible Euler Equations with Over Damping

摘要

In this paper, we consider the global existence and blow up mechanism of classical solutions for one dimensional isentropic compressible Euler equations with over damping term like mu(1+ t)(lambda)v, where mu > 0 and lambda > 0 are physical parameters. Using wave decomposition method and energy functional, we show that for any given time T > 0, the classical solutions of system (3) exist globally under some suitable conditions on initial data and give singularity formation of classical solutions under the assumptions that the derivatives of initial data are sufficiently negative.