Blow-Up of Solutions to a Novel Two-Component Rod System

We consider a novel two-component rod system which is closely connected to the shallow water theory. The present work is mainly concerned with the blow-up mechanism of strong solutions; we establish new conditions in view of some special classes of initial value to guarantee finite time blow-up of s...

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Veröffentlicht in:	Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.675-686-967
Hauptverfasser:	Liu, Shengrong, Guo, Zhengguang, Wang, Weiming
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Dynamical systems Mathematical research Ordinary differential equations Studies
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Beschreibung
Zusammenfassung:	We consider a novel two-component rod system which is closely connected to the shallow water theory. The present work is mainly concerned with the blow-up mechanism of strong solutions; we establish new conditions in view of some special classes of initial value to guarantee finite time blow-up of solutions.
ISSN:	1085-3375 1687-0409
DOI:	10.1155/2013/730860