Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 2281-2289 |
| Seitenumfang | 9 |
| Fachzeitschrift | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Jahrgang | 365 |
| Ausgabenummer | 1858 |
| Publikationsstatus | Veröffentlicht - 13 März 2007 |
Abstract
This paper is devoted to the study of a recently derived periodic shallow water equation. We discuss in detail the blow-up scenario of strong solutions and present several conditions on the initial profile, which ensure the occurrence of wave breaking. We also present a family of global weak solutions, which may be viewed as global periodic shock waves to the equation under discussion.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
- Ingenieurwesen (insg.)
- Allgemeiner Maschinenbau
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Jahrgang 365, Nr. 1858, 13.03.2007, S. 2281-2289.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Wave breaking and shock waves for a periodic shallow water equation
AU - Escher, Joachim
PY - 2007/3/13
Y1 - 2007/3/13
N2 - This paper is devoted to the study of a recently derived periodic shallow water equation. We discuss in detail the blow-up scenario of strong solutions and present several conditions on the initial profile, which ensure the occurrence of wave breaking. We also present a family of global weak solutions, which may be viewed as global periodic shock waves to the equation under discussion.
AB - This paper is devoted to the study of a recently derived periodic shallow water equation. We discuss in detail the blow-up scenario of strong solutions and present several conditions on the initial profile, which ensure the occurrence of wave breaking. We also present a family of global weak solutions, which may be viewed as global periodic shock waves to the equation under discussion.
KW - Peakons
KW - Shallow water equation
KW - Shock waves
KW - Wave breaking
UR - http://www.scopus.com/inward/record.url?scp=34548219119&partnerID=8YFLogxK
U2 - 10.1098/rsta.2007.2008
DO - 10.1098/rsta.2007.2008
M3 - Article
AN - SCOPUS:34548219119
VL - 365
SP - 2281
EP - 2289
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
SN - 1364-503X
IS - 1858
ER -