Geodesic
Instability of the stationary solutions of generalized dissipative Boussinesq equation
Applications of Mathematics, Tome 59 (2014) no. 3, pp. 345-358.

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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.
DOI : 10.1007/s10492-014-0059-1
Classification : 35B35, 35Q35, 35Q53, 76B15
Keywords: damped Boussinesq equation; stationary solution; instability 
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Esfahani, Amin. Instability of the stationary solutions of generalized dissipative Boussinesq equation. Applications of Mathematics, Tome 59 (2014) no. 3, pp. 345-358. doi : 10.1007/s10492-014-0059-1. http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0059-1/

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