Nonexistence and Longtime Behaviors of Solutions to a Class of Nonlinear Degenerate Parabolic Equations Not in Divergence Form

In this paper, we study the nonexistence and longtime behavior of weak solution for the degenerate parabolic equation σtun=umdiv（｜▽um｜p-2▽um）＋γ｜▽um｜p＋βun with zero boundary condition. Blow-up time is derived when the blow-up does occur.

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Bibliographische Detailangaben
Veröffentlicht in:	Acta Mathematicae Applicatae Sinica 2016-06, Vol.32 (2), p.327-332
Hauptverfasser:	Sun, Yu-dong, Shi, Yi-min, Wu, Min
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Math Applications in Computer Science Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, we study the nonexistence and longtime behavior of weak solution for the degenerate parabolic equation σtun=umdiv（｜▽um｜p-2▽um）＋γ｜▽um｜p＋βun with zero boundary condition. Blow-up time is derived when the blow-up does occur.
ISSN:	0168-9673 1618-3932
DOI:	10.1007/s10255-016-0556-y