{"title":"振荡系数波方程的两尺度模型","authors":"Michel Lenczner , Mahamane Kader , Pierre Perrier","doi":"10.1016/S1287-4620(00)00133-2","DOIUrl":null,"url":null,"abstract":"<div><p>A two-scale model for the wave equation with periodic coefficients is formulated. It has been derived using an asymptotic method based on a two-scale convergence and on the Bloch waves decomposition. The homogenized wave equation and the Bloch waves expansion are particular cases of this new formulation.</p></div>","PeriodicalId":100303,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","volume":"328 4","pages":"Pages 335-340"},"PeriodicalIF":0.0000,"publicationDate":"2000-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1287-4620(00)00133-2","citationCount":"2","resultStr":"{\"title\":\"Modèle à deux échelles de l'équation des ondes à coefficients oscillants\",\"authors\":\"Michel Lenczner , Mahamane Kader , Pierre Perrier\",\"doi\":\"10.1016/S1287-4620(00)00133-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A two-scale model for the wave equation with periodic coefficients is formulated. It has been derived using an asymptotic method based on a two-scale convergence and on the Bloch waves decomposition. The homogenized wave equation and the Bloch waves expansion are particular cases of this new formulation.</p></div>\",\"PeriodicalId\":100303,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy\",\"volume\":\"328 4\",\"pages\":\"Pages 335-340\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1287-4620(00)00133-2\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1287462000001332\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1287462000001332","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Modèle à deux échelles de l'équation des ondes à coefficients oscillants
A two-scale model for the wave equation with periodic coefficients is formulated. It has been derived using an asymptotic method based on a two-scale convergence and on the Bloch waves decomposition. The homogenized wave equation and the Bloch waves expansion are particular cases of this new formulation.
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