{"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}
引用次数: 17
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.
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