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Global existence of solutions to the periodic initial value problems for two-dimensional Newton-Boussinesq equations

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Abstract

A class of periodic initial value problems for two-dimensional Newton-Boussinesq equations are investigated in this paper. The Newton-Boussinesq equations are turned into the equivalent integral equations. With iteration methods, the local existence of the solutions is obtained. Using the method of a priori estimates, the global existence of the solution is proved.

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Authors and Affiliations

  1. Department of Mathematics, South China Agricultural University, Guangzhou, 510642, P. R. China

    Shao-mei Fang  (房少梅) & Ling-yu Jin  (金玲玉)

  2. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P. R. China

    Bo-ling Guo  (郭柏灵)

Authors
  1. Shao-mei Fang  (房少梅)
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  2. Ling-yu Jin  (金玲玉)
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  3. Bo-ling Guo  (郭柏灵)
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Corresponding author

Correspondence to Bo-ling Guo  (郭柏灵).

Additional information

Contributed by Bo-ling GUO

Project supported by the National Natural Science Foundation of China (Nos. 10871075 and 10926101) and the Natural Science Foundation of Guangdong Province of China (Nos. 9451064201003736 and 9151064201000040)

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Fang, Sm., Jin, Ly. & Guo, Bl. Global existence of solutions to the periodic initial value problems for two-dimensional Newton-Boussinesq equations. Appl. Math. Mech.-Engl. Ed. 31, 405–414 (2010). https://doi.org/10.1007/s10483-010-0401-9

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  • DOI: https://doi.org/10.1007/s10483-010-0401-9

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