Displaying similar documents to “Elastic membrane equation in bounded and unbounded domains.”

Instability of the stationary solutions of generalized dissipative Boussinesq equation

Amin Esfahani (2014)

Applications of Mathematics


In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established.