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

    Access Status
    Fulltext not available
    Authors
    Li, X.
    Zhang, J.
    Lai, S.
    Wu, Yong Hong
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Li, Xiaoguang and Zhang, Jian and Lai, Shaoyong and Wu, Yonghong. 2014. On the blow-up phenomenon for a generalized Davey-Stewartson system. IMA Journal of Applied Mathematics. 79 (2): pp. 326-346.
    Source Title
    IMA Journal of Applied Mathematics
    DOI
    10.1093/imamat/hxs068
    ISSN
    02724960
    URI
    http://hdl.handle.net/20.500.11937/39985
    Collection
    • Curtin Research Publications
    Abstract

    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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