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• W2504137946 abstract "Most of the waves that are observed on the surface of the world’s oceans, seas and lakes are wind generated. Once initiated, these water waves propagate substantial distances before their energy is dissipated—propagation distances in excess of hundreds or thousands times a wavelength are needed for the occurrence of a significant energy loss. We address some fundamental aspects of water-wave propagation once waves have been generated, within the framework of inviscid two-dimensional flow theory and in the absence of underlying currents. The emphasis is placed upon periodic travelling gravity water waves of large amplitude. These wave patterns can only be fully understood in terms of nonlinear effects, linear theory being not adequate for their description. An in-depth mathematical study is made possible by uncovering the rich structure of the hydrodynamical free-boundary problem under investigation, taking advantage of insights from physical observation, experimental evidence and numerical simulations. The interdisciplinary nature of this classical research subject is also reflected in the fact that its theoretical investigation relies on an interplay between methods and techniques from dynamical systems, complex analysis, functional analysis, topology, harmonic analysis, and the calculus of variations." @default.
• W2504137946 created "2016-08-23" @default.
• W2504137946 creator A5010200247 @default.
• W2504137946 date "2016-01-01" @default.
• W2504137946 modified "2023-10-12" @default.
• W2504137946 title "Exact Travelling Periodic Water Waves in Two-Dimensional Irrotational Flows" @default.
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• W2504137946 doi "https://doi.org/10.1007/978-3-319-31462-4_1" @default.
• W2504137946 hasPublicationYear "2016" @default.
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