Singularity formation for the 1D compressible Euler equations with variable damping coefficient

In this paper, we consider some blow-up problems for the 1D Euler equations with time and space dependent damping. We investigate sufficient conditions on initial data and the rate of spatial or time-like decay of the coefficient of damping for the occurrence of the finite time blow-up. In particula...

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Veröffentlicht in:	Nonlinear analysis 2018-05, Vol.170, p.70-87
1. Verfasser:	Sugiyama, Yuusuke
Format:	Artikel
Sprache:	eng
Schlagworte:	Blow-up Cauchy problems Compressibility Damping Decay rate Euler-Lagrange equation Eulers equations Lifespan Mathematical analysis Mathematical problems p-system Singularity formation Spacetime Time dependence
Online-Zugang:	Volltext
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