Corrigendum to “Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude” (Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude (2014) 97 (145–154), (S0362546X13004008), (10.1016/j.na.2013.11.021))

Duruk Mutlubaş, Nilay (2020) Corrigendum to “Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude” (Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude (2014) 97 (145–154), (S0362546X13004008), (10.1016/j.na.2013.11.021)). Nonlinear Analysis: Theory, Methods & Applications, 192 . ISSN 0362-546X (Print) 1873-5215 (Online)

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Abstract

The local well-posedness of a periodic nonlinear equation for surface waves of moderate amplitude in shallow water was studied in Duruk Mutlubas (2014) where an approach proposed by Kato based on semigroup theory for quasi-linear equations was used. It was also shown that singularities for the model equation can occur only in the form of wave breaking, in particular surging breakers. In this paper, we correct the mistake made in the proof of the main result on local well-posedness and give the appropriate assumptions followed by the corresponding results.
Item Type: Article
Additional Information: Correction / Erratum
Uncontrolled Keywords: Wave breaking; Quasilinear hyperbolic equation; Well-posedness
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Nilay Duruk Mutlubaş
Date Deposited: 20 Sep 2020 17:53
Last Modified: 29 Jul 2023 10:19
URI: https://research.sabanciuniv.edu/id/eprint/40469

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