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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (4): 405-414.doi: https://doi.org/10.1007/s10483-010-0401-9

• Articles •    下一篇

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

房少梅1 金玲玉1 郭柏灵2   

  1. 1. Department of Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China
  • 收稿日期:2009-06-16 修回日期:2010-01-16 出版日期:2010-04-20 发布日期:2010-04-20

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

FANG Shao-Mei1, JIN Ling-Yu1, GUO Bo-Ling2   

  1. 1. Department of Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China
  • Received:2009-06-16 Revised:2010-01-16 Online:2010-04-20 Published:2010-04-20

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摘要： 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.

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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