We consider the blow-up phenomenon of sixth order nonlinear strongly damped wave equation. By using the concavity method, we prove a finite time blow-up result under assumptions on the nonlinear term and the initial data.
"Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/310297