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標題Title: The water waves equations: from Zakharov to Euler
作者Authors: T. Alazard, N. Burq, C. Zuily
上傳單位Department: 電子工程系
上傳時間Date: 2012-12-8
上傳者Author: 傅俊結
審核單位Department: 電子工程系
審核老師Teacher: 傅俊結
檔案類型Categories: 論文Thesis
關鍵詞Keyword: water waves,regularity
摘要Abstract: Starting form the Zakharov/Craig-Sulem formulation of the gravity water waves equa- tions, we prove that one can define a pressure term and hence obtain a solution of the classical Euler equations. It is proved that these results hold in rough domains, under minimal assumptions on the regularity to ensure, in terms of Sobolev spaces, that the solutions are C1.

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