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Mathematics > Analysis of PDEs

Title: Rigid Lid limit in shallow water over a flat bottom

Authors: Benjamin Melinand (CEREMADE)
(Submitted on 15 Dec 2023 (this version), latest version 27 Mar 2024 (v3))
Abstract: We perform the so called rigid lid limit on different shallow water models such as the abcd Bousssinesq systems or the Green-Naghdi equations. Decay rates are provided and a careful attention is given to the dependence on the shallowness parameter.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:2312.09605 [math.AP]
  (or arXiv:2312.09605v1 [math.AP] for this version)

Submission history

From: Benjamin Melinand [view email]
[v1] Fri, 15 Dec 2023 08:38:59 GMT (25kb)
[v2] Mon, 18 Dec 2023 10:44:22 GMT (26kb)
[v3] Wed, 27 Mar 2024 09:39:59 GMT (894kb)
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