On the decay in time of solutions of the generalized regularized Boussinesq system

Youcef Mammeri (1)

1 IMB - Institut de Mathématiques de Bordeaux

We are interested in dispersive properties of the Boussinesq system for small initial data. We prove that, for a nonlinearity of sufficiently high order, the solution of the Boussinesq system exists for all time and tends to zero when the time tends to infinity.

Mots clés: Boussinesq system; decay in time

Domaines: Mathématiques [math]

Youcef Mammeri. On the decay in time of solutions of the generalized regularized Boussinesq system. Advances in Nonlinear Studies, 2010, 10, pp.837 - 849. ⟨hal-01090378⟩