Strong Solutions to 3D-Lagrangian Averaged Boussinesq System

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Ridha Selmi, Leila Azem, Strong Solutions to 3D-Lagrangian Averaged Boussinesq System, Int. J. Anal. Appl., 19 (1) (2021), 110-122.

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Ridha Selmi, Leila Azem

Abstract

Under suitable assumptions on the initial data, we prove the existence, uniqueness of the strong solutions to a regularized periodic three-dimensional Lagrangian averaged Boussinesq system, in a Sobolev spaces. Also, we establish the convergence results of this unique strong solution of this regularized Boussinesq system to a strong solution of the three-dimensional Boussinesq system, as the regularizing parameter vanishes.

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