JOONGBU UNIVERSITY LIBRARY

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The Wave Kinetic Theory of Three Wave and Four Wave Models- [electronic resource]

Title/Author: The Wave Kinetic Theory of Three Wave and Four Wave Models - [electronic resource]

General Note: Source: Dissertations Abstracts International, Volume: 84-12, Section: B.

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Abstracts/Etc: 요약In this thesis, we introduce new techniques for studying the random series expansion of dispersive PDEs. We take a quadratic KdV type and a cubic Klein-Gordon type equation as examples to demonstrate the different techniques in three wave and four wave models. For three wave models, we introduce a counting argument to handle the degeneracy problems of the resonance surface and the loss of derivative problem. For four wave models, we introduce a novel renormalization argument and prove a renormalized Wick theorem. We provide a heuristic argument that this renormalization is able to remove all bad terms from the L2 mass term, combining with an almost cancellation identity of the regular pairing and the Deng-Hani's Feynman diagram analysis.

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TQ0027053	T	원문자료	열람가능/출력가능	열람가능/출력가능 마이폴더 부재도서신고

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