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Wave Mechanics and Wave Loads on Marine Structures by Paolo Boccotti

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Chapter 8

The Theory of Quasi-Determinism

Abstract

The theorem of the sufficient condition for a wave crest with a given very large elevation and the theorems of the sufficient and the necessary conditions for a wave with a given very large height are proven. These theorems imply that: if a wave crest of given exceptionally large elevation occurs at some point xo, yo, the random surface elevation and the relevant velocity potential will be close to well-defined deterministic functions η1¯, ϕ1¯ in a neighborhood of xo, yo; and likewise, if a wave of given exceptionally large height occurs at some point xo, yo, the random surface elevation and the relevant velocity potential will be close to well-defined deterministic functions η2¯, ϕ2¯ in a neighborhood ...

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