{"title":"平面Cosserat弹性内边值问题的弱解","authors":"E. Shmoylova, S. Potapenko, Leo Rothenburg","doi":"10.1216/JIEA/1181075423","DOIUrl":null,"url":null,"abstract":"Abstract.In this paper we formulate interior Dirichlet and Neumann boundary value problems of plane Cosserat elasticity in Sobolev spaces, show that these problems are well-posed and find the corresponding weak solutions in the form of integral potentials.","PeriodicalId":23944,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik ZAMP","volume":"124 1","pages":"506-522"},"PeriodicalIF":0.0000,"publicationDate":"2006-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"Weak solutions of the interior boundary value problems of plane Cosserat elasticity\",\"authors\":\"E. Shmoylova, S. Potapenko, Leo Rothenburg\",\"doi\":\"10.1216/JIEA/1181075423\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract.In this paper we formulate interior Dirichlet and Neumann boundary value problems of plane Cosserat elasticity in Sobolev spaces, show that these problems are well-posed and find the corresponding weak solutions in the form of integral potentials.\",\"PeriodicalId\":23944,\"journal\":{\"name\":\"Zeitschrift für angewandte Mathematik und Physik ZAMP\",\"volume\":\"124 1\",\"pages\":\"506-522\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-02-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Zeitschrift für angewandte Mathematik und Physik ZAMP\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1216/JIEA/1181075423\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zeitschrift für angewandte Mathematik und Physik ZAMP","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1216/JIEA/1181075423","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Weak solutions of the interior boundary value problems of plane Cosserat elasticity
Abstract.In this paper we formulate interior Dirichlet and Neumann boundary value problems of plane Cosserat elasticity in Sobolev spaces, show that these problems are well-posed and find the corresponding weak solutions in the form of integral potentials.