On the blow-up phenomenon for a generalized Davey-Stewartson system

The blow-up solutions of the Cauchy problem for a generalized Davey–Stewartson system, which models the wave propagation in a bulk medium made of an elastic material with coupled stresses, are investigated. The mass concentration is established for all the blow-up solutions of the system. The profil...

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Main Authors: Li, X., Zhang, J., Lai, S., Wu, Yong Hong
Format: Journal Article
Published: Oxford university Press 2014
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/39985
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author Li, X.
Zhang, J.
Lai, S.
Wu, Yong Hong
author_facet Li, X.
Zhang, J.
Lai, S.
Wu, Yong Hong
author_sort Li, X.
building Curtin Institutional Repository
collection Online Access
description The blow-up solutions of the Cauchy problem for a generalized Davey–Stewartson system, which models the wave propagation in a bulk medium made of an elastic material with coupled stresses, are investigated. The mass concentration is established for all the blow-up solutions of the system. The profile of the minimal blow-up solutions as t → T (blow-up time) is discussed in detail in terms of the ground state.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:01:09Z
publishDate 2014
publisher Oxford university Press
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spelling curtin-20.500.11937-399852018-05-08T01:40:48Z On the blow-up phenomenon for a generalized Davey-Stewartson system Li, X. Zhang, J. Lai, S. Wu, Yong Hong generalized Davey–Stewartson systems blow-up profile mass concentration minimal blow-up solutions The blow-up solutions of the Cauchy problem for a generalized Davey–Stewartson system, which models the wave propagation in a bulk medium made of an elastic material with coupled stresses, are investigated. The mass concentration is established for all the blow-up solutions of the system. The profile of the minimal blow-up solutions as t → T (blow-up time) is discussed in detail in terms of the ground state. 2014 Journal Article http://hdl.handle.net/20.500.11937/39985 10.1093/imamat/hxs068 Oxford university Press restricted
spellingShingle generalized Davey–Stewartson systems
blow-up profile
mass concentration
minimal blow-up solutions
Li, X.
Zhang, J.
Lai, S.
Wu, Yong Hong
On the blow-up phenomenon for a generalized Davey-Stewartson system
title On the blow-up phenomenon for a generalized Davey-Stewartson system
title_full On the blow-up phenomenon for a generalized Davey-Stewartson system
title_fullStr On the blow-up phenomenon for a generalized Davey-Stewartson system
title_full_unstemmed On the blow-up phenomenon for a generalized Davey-Stewartson system
title_short On the blow-up phenomenon for a generalized Davey-Stewartson system
title_sort on the blow-up phenomenon for a generalized davey-stewartson system
topic generalized Davey–Stewartson systems
blow-up profile
mass concentration
minimal blow-up solutions
url http://hdl.handle.net/20.500.11937/39985