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Published in 2017 at "China Ocean Engineering"
DOI: 10.1007/s13344-017-0048-8
Abstract: After the approach by Mellor (2003, 2008), the present paper reports on a repeated effort to derive the equations for three-dimensional wave-induced current. Via the vertical momentum equation and a proper coordinate transformation, the phase-averaged…
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Keywords:
three dimensional;
induced current;
wave;
dimensional wave ... See more keywords
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Published in 2020 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5139667
Abstract: In this paper, we prove an infinite dimensional Kolmogorov-Arnold-Moser theorem. As an application, it is shown that there are many small-amplitude linearly-stable quasi-periodic solutions for higher dimensional wave equations with a real Fourier multiplier, which…
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Keywords:
higher dimensional;
dimensional wave;
reducible kam;
nonlocal forced ... See more keywords