Details
| Original language | English |
|---|---|
| Pages (from-to) | 2281-2289 |
| Number of pages | 9 |
| Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 365 |
| Issue number | 1858 |
| Publication status | Published - 13 Mar 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.
Keywords
- Peakons, Shallow water equation, Shock waves, Wave breaking
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Engineering(all)
- General Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 365, No. 1858, 13.03.2007, p. 2281-2289.
Research output: Contribution to journal › Article › Research › 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 -