Blow-up phenomena for a class of fourth-order nonlinear wave equations with a viscous damping term.

This paper deals with the blow-up phenomena for a class of fourth-order nonlinear wave equations with a viscous damping term u_tt - α u_xxt + u_xxxx = f(ux)_x, x ∈ Ω, t > 0 with Ω = (0, 1) and α > 0. Here, f(s) is a given nonlinear smooth function. For 0 < α < p - 1, we prove that the blow-up occurs in finite time for arbitrary positive initial energy and suitable initial data. This result extends the recent results obtained by Xu et al. [ABSTRACT FROM AUTHOR]