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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Official URL: http://dx.doi.org/10.1016/j.na.2019.111712
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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