The mathematical theory of permanent progressive water-waves
By H. Okamoto, M. Shōji. 2001
155 citations recorded by the source corpus.
Subfields: Atmospheric Science, Earth-Surface Processes, Oceanography
View Paper: https://www.semanticscholar.org/paper/b1788edb25e397c800bd41025fcdb084dcc15415
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atmospheric Science
- Eugen Varvaruca
- Adrian Constantin
- Walter A. Strauss
- Hiroki Yagisita
- Joachim Escher
- Mats Ehrnström
- Erik Wahlén
In Earth-Surface Processes
- Adrian Constantin
- Eugen Varvaruca
- Walter A. Strauss
- Erik Wahlén
- Joachim Escher
- Hiroki Yagisita
- Mats Ehrnström
- David Henry
In Oceanography
- Eugen Varvaruca
- Adrian Constantin
- Erik Wahlén
- Walter A. Strauss
- Joachim Escher
- Mats Ehrnström
- Hiroki Yagisita
- David Henry
Citations in the corpus
- The trajectories of particles in Stokes waves (2006, background): “The symmetry of the free surface is actually guaranteed if we assume that the wave profile is monotone between crests and troughs [ 26 , 7]. The only Stokes waves for which the free surface is not a continuously differentiable curve are the waves of greatest height in which case the curve is symmetr”
- Existence and nonexistence of traveling waves for a nonlocal monostable equation (2008, background): “, [5, 7, 10, 11, 12, 13, 14, 15, 18, 19, 23, 24, 26, 27, 28] on traveling waves and long-time behavior in various monostable evolution systems, [2, 4, 30] nonlocal bistable equations and [20] Euler equation.”
- Symmetry of steady periodic surface water waves with vorticity (2004, methodology): “Indeed, our theorem applies to a large class of flows with non-constant vorticity whereas the proof of Okamoto & Shoji (2001) can be adapted with no essential differences only to the case of constant vorticity.”
- Pressure beneath a Stokes wave (2009, background): “The symmetry of the free surface is actually guaranteed by the fact that the wave profile is monotone between crests and troughs [22].”
- Symmetry of steady periodic gravity water waves with vorticity (2007, methodology): “The existence of symmetric steady periodic capillary or capillary-gravity waves for any vorticity is known (see [27]) and in [20] it is suggested that for irrotational flows a steady periodic water wave with a profile that is strictly monotone between crests and troughs has to be symmetric even if o”
- Global bifurcation of steady gravity water waves with critical layers (2014, background): “General overviews of the wave-current interaction theory can be found in [10, 34] and of the numerics in [21, 29, 30, 31, 50].”
- Exact steady periodic water waves with vorticity (2004, background): “Numerical computations for some cases of waves with constant vorticity are presented in [6, 23, 35, 37, 46].”