WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Blow-up of Solution to Cauchy Problem for the Generalized Damped Boussinesq Equation
Authors: ,
Abstract: In this paper we study the local solution, global solution and the Blow-up of the solution for a generalized damped Boussinesq equation. By employing various methods such as the energy method, the Fourier transform method, contraction mapping principle and the concavity method, we proved the existence of local and global solutions under certain conditions. Finally, we gave three the conditions about the Blow-up of the solution.