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Global existence and blow‐up of the solutions for the multidimensional generalized Boussinesq equation
Author(s) -
Wang Ying,
Mu Chunlai
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.846
Subject(s) - mathematics , uniqueness , initial value problem , cauchy problem , mathematical analysis , cauchy distribution , boussinesq approximation (buoyancy) , convection , physics , natural convection , rayleigh number , thermodynamics
In this paper, the existence and the uniqueness of the global solution for the Cauchy problem of the multidimensional generalized Boussinesq equation are obtained. Furthermore, the blow‐up of the solution for the Cauchy problem of the generalized Boussinesq equation is proved. Copyright © 2007 John Wiley & Sons, Ltd.