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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Main Authors: Shengrong Liu, Zhengguang Guo, Weiming Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/730860
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author Shengrong Liu
Zhengguang Guo
Weiming Wang
author_facet Shengrong Liu
Zhengguang Guo
Weiming Wang
author_sort Shengrong Liu
collection DOAJ
description 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.
format Article
id doaj-art-fd3d02d5cf8740cab8cce0d35eaea3a5
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-fd3d02d5cf8740cab8cce0d35eaea3a52025-02-03T06:44:25ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/730860730860Blow-Up of Solutions to a Novel Two-Component Rod SystemShengrong Liu0Zhengguang Guo1Weiming Wang2College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaWe 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.http://dx.doi.org/10.1155/2013/730860
spellingShingle Shengrong Liu
Zhengguang Guo
Weiming Wang
Blow-Up of Solutions to a Novel Two-Component Rod System
Abstract and Applied Analysis
title Blow-Up of Solutions to a Novel Two-Component Rod System
title_full Blow-Up of Solutions to a Novel Two-Component Rod System
title_fullStr Blow-Up of Solutions to a Novel Two-Component Rod System
title_full_unstemmed Blow-Up of Solutions to a Novel Two-Component Rod System
title_short Blow-Up of Solutions to a Novel Two-Component Rod System
title_sort blow up of solutions to a novel two component rod system
url http://dx.doi.org/10.1155/2013/730860
work_keys_str_mv AT shengrongliu blowupofsolutionstoanoveltwocomponentrodsystem
AT zhengguangguo blowupofsolutionstoanoveltwocomponentrodsystem
AT weimingwang blowupofsolutionstoanoveltwocomponentrodsystem