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Global Well-Posedness to the three-dimensional Boussinesq system with nonlinear damping
  • Ridha SELMI,
  • Mounia Zaabi
Ridha SELMI
FSG
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Mounia Zaabi
Universite de Tunis El Manar
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Peer review status:IN REVISION

19 Feb 2020Submitted to Mathematical Methods in the Applied Sciences
25 Feb 2020Assigned to Editor
25 Feb 2020Submission Checks Completed
25 Feb 2020Reviewer(s) Assigned
07 Jul 2020Review(s) Completed, Editorial Evaluation Pending
13 Jul 2020Editorial Decision: Revise Major

Abstract

In this paper, we prove the well-posedness of the solution to the three-dimensional Boussinesq system with nonlinear damping term. Existence, uniqueness and continuous dependence with respect to initial data of the weak solution are proved, under minimum regularity requirement in Sobolev and Lebegue spaces. Energy method, compactness method, and appropriate technical lemmas are used.