International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Strong Solutions to 3D-Lagrangian Averaged Boussinesq System

  • Ridha Selmi1*
  • Leila Azem
  1. UCA, spain

* Corresponding author

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.

How to Cite

R. Selmi, L. Azem, Strong Solutions to 3D-Lagrangian Averaged Boussinesq System, Int. J. Anal. Appl. 19 (2021), 110–122. https://doi.org/10.28924/2291-8639-19-2021-110

BibTeX
@article{Selmi2021,
  author  = {Selmi, Ridha and Azem, Leila},
  title   = {Strong Solutions to 3D-Lagrangian Averaged Boussinesq System},
  journal = {Int. J. Anal. Appl.},
  volume  = {19},
  year    = {2021},
  pages   = {110--122},
  doi     = {10.28924/2291-8639-19-2021-110}
}

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