Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (11): 1437-1443 .doi: https://doi.org/10.1007/s10483-007-1103-y

• Articles • Previous Articles     Next Articles

Blow-up of solution for a generalized Boussinesq equation

WANG Yan-ping, GUO Bo-ling   

    1. Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, P. R. China;
    2. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, P. R. China
  • Received:2006-08-17 Revised:2007-08-08 Online:2007-11-18 Published:2007-11-18
  • Contact: WANG Yan-ping

PDF

354

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.

Key words: Boussinesq equation, initial boundary value problem, local solution, blow-up of the solution

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn