Abstract
We derive a quasilinear shallow water equation directly from the governing equations for gravity water waves within a certain regime for large-amplitude waves which has not been studied so far. Furthermore, we demonstrate local well-posedness of the corresponding Cauchy problem and finally discuss some aspects of the blowup behavior of solutions.
Originalsprache | Englisch |
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Seiten (von - bis) | 539-567 |
Seitenumfang | 29 |
Fachzeitschrift | Journal of Evolution Equations |
Jahrgang | 16 |
Ausgabenummer | 3 |
Frühes Online-Datum | 9 Jan. 2016 |
DOIs | |
Publikationsstatus | Veröffentlicht - Sept. 2016 |
ÖFOS 2012
- 101002 Analysis