Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions | Zendy

YuZhu Wang | Zendy; Qingnian Zhang | Zendy

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Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions

Author(s) -

YuZhu Wang,

Qingnian Zhang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/154102

Subject(s) - mathematics , matrix (chemical analysis) , path (computing) , mathematical analysis , dimension (graph theory) , combinatorics , computer science , materials science , composite material , programming language

The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We provethe asymptotic behavior of the global solutions provided that the initial data are suitably small. Moreover, our global solutions can be approximated by the solutions to the corresponding linearequation as time tends to infinity when the dimension of space

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