Discrete wave turbulence of rotational capillary water waves

A. Constantin; Elena Kartaschova; E. Wahlen

doi:10.48550/arXiv.1001.1497

Discrete wave turbulence of rotational capillary water waves

A. Constantin, Elena Kartaschova, E. Wahlen

Research Institute for Symbolic Computation

Research output: Working paper and reports › Preprint

Abstract

We study the discrete wave turbulent regime of capillary water waves with constant non-zero vorticity. The explicit Hamiltonian formulation and the corresponding coupling coefficient are obtained. We also present the construction and investigation of resonance clustering. Some physical implications of the obtained results are discussed.

Original language	English
Number of pages	13
DOIs	https://doi.org/10.48550/arXiv.1001.1497
Publication status	Published - 2010

Publication series

Name	arXiv.org
ISSN (Print)	2331-8422

Fields of science

101001 Algebra
101002 Analysis
101 Mathematics
102 Computer Sciences
102011 Formal languages
101013 Mathematical logic
101020 Technical mathematics
101025 Number theory
101012 Combinatorics
101005 Computer algebra
101003 Applied geometry
102025 Distributed systems

JKU Focus areas

Computation in Informatics and Mathematics
Engineering and Natural Sciences (in general)

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10.48550/arXiv.1001.1497

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abstract = "We study the discrete wave turbulent regime of capillary water waves with constant non-zero vorticity. The explicit Hamiltonian formulation and the corresponding coupling coefficient are obtained. We also present the construction and investigation of resonance clustering. Some physical implications of the obtained results are discussed.",

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year = "2010",

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language = "English",

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T1 - Discrete wave turbulence of rotational capillary water waves

AU - Constantin, A.

AU - Kartaschova, Elena

AU - Wahlen, E.

PY - 2010

Y1 - 2010

N2 - We study the discrete wave turbulent regime of capillary water waves with constant non-zero vorticity. The explicit Hamiltonian formulation and the corresponding coupling coefficient are obtained. We also present the construction and investigation of resonance clustering. Some physical implications of the obtained results are discussed.

AB - We study the discrete wave turbulent regime of capillary water waves with constant non-zero vorticity. The explicit Hamiltonian formulation and the corresponding coupling coefficient are obtained. We also present the construction and investigation of resonance clustering. Some physical implications of the obtained results are discussed.

UR - https://arxiv.org/abs/1001.1497

U2 - 10.48550/arXiv.1001.1497

DO - 10.48550/arXiv.1001.1497

M3 - Preprint

T3 - arXiv.org

BT - Discrete wave turbulence of rotational capillary water waves

ER -

Discrete wave turbulence of rotational capillary water waves

Abstract

Publication series

Fields of science

JKU Focus areas

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