Boundary Value Problems | 2019
Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy
Abstract
In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we show the finite time blow-up of solution with arbitrarily high initial energy.