Details
| Original language | English |
|---|---|
| Pages (from-to) | 363-371 |
| Number of pages | 9 |
| Journal | Wave Motion |
| Volume | 46 |
| Issue number | 6 |
| Publication status | Published - Sept 2009 |
Abstract
We prove existence and uniqueness for two-dimensional steady water waves propagating along the beach. For small periodic shoreline data, global solutions vanishing in the seaward direction are found. In addition, we prove a priori properties of solutions, well-adapted to the physical background.
Keywords
- A priori estimates, Edge waves, Existence, Periodic solutions, Uniqueness, Water waves
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Wave Motion, Vol. 46, No. 6, 09.2009, p. 363-371.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Two-dimensional steady edge waves. Part I
T2 - Periodic waves
AU - Ehrnström, Mats
AU - Escher, Joachim
AU - Matioc, Bogdan-Vasile
PY - 2009/9
Y1 - 2009/9
N2 - We prove existence and uniqueness for two-dimensional steady water waves propagating along the beach. For small periodic shoreline data, global solutions vanishing in the seaward direction are found. In addition, we prove a priori properties of solutions, well-adapted to the physical background.
AB - We prove existence and uniqueness for two-dimensional steady water waves propagating along the beach. For small periodic shoreline data, global solutions vanishing in the seaward direction are found. In addition, we prove a priori properties of solutions, well-adapted to the physical background.
KW - A priori estimates
KW - Edge waves
KW - Existence
KW - Periodic solutions
KW - Uniqueness
KW - Water waves
UR - http://www.scopus.com/inward/record.url?scp=70249124530&partnerID=8YFLogxK
U2 - 10.1016/j.wavemoti.2009.06.002
DO - 10.1016/j.wavemoti.2009.06.002
M3 - Article
AN - SCOPUS:70249124530
VL - 46
SP - 363
EP - 371
JO - Wave Motion
JF - Wave Motion
SN - 0165-2125
IS - 6
ER -