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Blow-up of solution for a generalized Boussinesq equation

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Abstract

This paper studies the initial boundary value problem for a generalized Boussinesq equation and proves the existence and uniqueness of the local generalized solution of the problem by using the Galerkin method. Moreover, it gives the sufficient conditions of blow-up of the solution in finite time by using the concavity method.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou, 450015, P. R. China

    Wang Yan-ping  (王艳萍)

  2. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing, 100088, P. R. China

    Wang Yan-ping  (王艳萍) & Guo Bo-ling  (郭柏灵)

Authors
  1. Wang Yan-ping  (王艳萍)
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  2. Guo Bo-ling  (郭柏灵)
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Corresponding author

Correspondence to Wang Yan-ping  (王艳萍).

Additional information

Contributed by GUO Bo-ling

Project supported by the National Natural Science Foundation of China (No. 10671182) and the Excellent Youth Teachers Foundation of High College of Henan Province of China

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Wang, Yp., Guo, Bl. Blow-up of solution for a generalized Boussinesq equation. Appl. Math. Mech.-Engl. Ed. 28, 1437–1443 (2007). https://doi.org/10.1007/s10483-007-1103-y

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  • DOI: https://doi.org/10.1007/s10483-007-1103-y

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