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Blowup phenomena of the compressible Euler equations
Authors:Zhilei Liang
Affiliation:School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China
Abstract:The blowup phenomena of solutions of the compressible Euler equations is investigated. The approach is to construct the special solutions and use phase plane analysis. In particular, the special explicit solutions with velocity of the form c(t)x are constructed to show the blowup and expanding properties.
Keywords:Compressible Euler equations   Blowup   Phase plane analysis
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