2005•Fudan xuebao. Ziran Kexue banRequires access
Blow-up of Classical Solutions of Compressible Euler Equations in Three-dimensional Space
Zhang Xin-li
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Abstract
It is studied that blow-up of classical solutions of compressible Euler equations in three-dimensional space with spherically symmetric initial data which is a small perturbation of amplitude e from a constant state.It is proved that the classical solutions have to blow-up in finite time in spite of any small e and an upper bound for the lifespan is obtained.