Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources

Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources

This paper deals with the blowing up solution to a damped nonlinear hyperbolic equation with variable sources. Under some conditions on the initial data, the lower and upper bounds for blowing up time are obtained. Furthermore, a two dimensional numerical example is given to illustrate the result.

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Veröffentlicht in:Computers & mathematics with applications (1987) 2016-01, Vol.71 (1), p.267-277
Hauptverfasser: Sun, Lili, Ren, Yuxue, Gao, Wenjie
Format: Artikel
Sprache:eng
Schlagworte:
Blowing
Blowing time
Computer simulation
Lower and upper bounds for the blow-up time
Mathematical analysis
Mathematical models
Nonlinearity
Two dimensional
Upper bounds
Variable sources
Wave equation
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Beschreibung
Zusammenfassung:This paper deals with the blowing up solution to a damped nonlinear hyperbolic equation with variable sources. Under some conditions on the initial data, the lower and upper bounds for blowing up time are obtained. Furthermore, a two dimensional numerical example is given to illustrate the result.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2015.11.016