Alain Bourgeat , Maria Goncharenko , Michel Panfilov , Leonid Pankratov
{"title":"双孔隙度的一般模型","authors":"Alain Bourgeat , Maria Goncharenko , Michel Panfilov , Leonid Pankratov","doi":"10.1016/S1287-4620(00)88648-2","DOIUrl":null,"url":null,"abstract":"<div><p>We consider a parabolic equation with highly contrasted diffusion coefficients in the blocks set ℳ<sup>(ɛ)</sup> and in the surrounding fissures system ℱ<sup>(ɛ)</sup>. Without a assumption, for a large range of contrast and by mean of variational homogenization, we find the global behavior when the numbers of blocks tends to infinity, for both the non stationary and the stationary model.</p></div>","PeriodicalId":100303,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","volume":"327 12","pages":"Pages 1245-1250"},"PeriodicalIF":0.0000,"publicationDate":"1999-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1287-4620(00)88648-2","citationCount":"3","resultStr":"{\"title\":\"Un modèle général de double porosité\",\"authors\":\"Alain Bourgeat , Maria Goncharenko , Michel Panfilov , Leonid Pankratov\",\"doi\":\"10.1016/S1287-4620(00)88648-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We consider a parabolic equation with highly contrasted diffusion coefficients in the blocks set ℳ<sup>(ɛ)</sup> and in the surrounding fissures system ℱ<sup>(ɛ)</sup>. Without a assumption, for a large range of contrast and by mean of variational homogenization, we find the global behavior when the numbers of blocks tends to infinity, for both the non stationary and the stationary model.</p></div>\",\"PeriodicalId\":100303,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy\",\"volume\":\"327 12\",\"pages\":\"Pages 1245-1250\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1287-4620(00)88648-2\",\"citationCount\":\"3\",\"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/S1287462000886482\",\"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/S1287462000886482","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We consider a parabolic equation with highly contrasted diffusion coefficients in the blocks set ℳ(ɛ) and in the surrounding fissures system ℱ(ɛ). Without a assumption, for a large range of contrast and by mean of variational homogenization, we find the global behavior when the numbers of blocks tends to infinity, for both the non stationary and the stationary model.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
