Instability of the stationary solutions of generalized dissipative Boussinesq equation |
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| Authors: | Amin Esfahani |
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| Institution: | 1. School of Mathematics and Computer Science, Damghan University, Damghan, P.O.Box 36715-364, Iran
2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O.Box: 19395-5746, Tehran, Iran
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| Abstract: | 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. |
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