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A remark on the well-posedness of the classical Green-Naghdi system
  • Bashar Khorbatly
Bashar Khorbatly
Lebanese American University Byblos Campus

Corresponding Author:bashar-elkhorbatly@hotmail.com

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Abstract

The aim of this paper is to give an alternative technique for the derivation of a prior energy estimate. Consequently, this allows to define a natural energy norm of the long-term well-posedness result established by S. Israwi in [2] but for the original system, in which the partial operator ∇× is not involved.

Peer review status:Published

15 Oct 2020Submitted to Mathematical Methods in the Applied Sciences
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16 Oct 2020Submission Checks Completed
16 Oct 2020Assigned to Editor
29 Oct 2020Reviewer(s) Assigned
06 Mar 2021Review(s) Completed, Editorial Evaluation Pending
22 Mar 2021Editorial Decision: Revise Major
29 Mar 20211st Revision Received
29 Mar 2021Submission Checks Completed
29 Mar 2021Assigned to Editor
31 Mar 2021Reviewer(s) Assigned
07 Jul 2021Review(s) Completed, Editorial Evaluation Pending
16 Jul 2021Editorial Decision: Accept
Dec 2021Published in Mathematical Methods in the Applied Sciences volume 44 issue 18 on pages 14545-14555. 10.1002/mma.7724