Show simple item record

dc.contributor.authorLi, X.
dc.contributor.authorZhang, J.
dc.contributor.authorLai, S.
dc.contributor.authorWu, Yong Hong
dc.date.accessioned2017-01-30T13:01:17Z
dc.date.available2017-01-30T13:01:17Z
dc.date.created2012-02-19T20:01:03Z
dc.date.issued2011
dc.identifier.citationLi, Xiaoguang and Zhang, Jian and Lai, Shaoyong and Wu, Yonghong. 2011. The sharp threshold and limiting profile of blow-up solutions for a Davey–Stewartson system. Journal of Differential Equations. 250 (4): pp. 2197-2226.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/27805
dc.identifier.doi10.1016/j.jde.2010.10.022
dc.description.abstract

The blow-up solutions of the Cauchy problem for the Davey–Stewartson system, which is a model equation in the theory of shallow water waves, are investigated. Firstly, the existence of the ground state for the system derives the best constant of a Gagliardo–Nirenberg type inequality and the variational character of the ground state. Secondly, the blow-up threshold of the Davey–Stewartson system is developed in R3. Thirdly, the mass concentration is established for all the blow-up solutions of the system in R2. Finally, the existence of the minimal blow-up solutions in R2 is constructed by using the pseudo-conformal invariance. The profile of the minimal blow-up solutions as t --> T (blow-up time) is in detail investigated in terms of the ground state.

dc.publisherAcademic Press
dc.subjectMinimal blow-up solutions
dc.subjectDavey–Stewartson systems
dc.subjectBlow-up profile
dc.subjectMass concentration
dc.titleThe sharp threshold and limiting profile of blow-up solutions for a Davey–Stewartson system
dc.typeJournal Article
dcterms.source.volume250
dcterms.source.startPage2197
dcterms.source.endPage2226
dcterms.source.issn00220396
dcterms.source.titleJournal of Differential Equations
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access via publisher


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record