This paper is devoted to the study of the elasticity with porous dissipation. In the context of the nonlinear problem, we prove instability and nonexistence of solutions. In the context of the linear problem, we obtain exponential growth. We also obtain uniqueness of solutions of the backward in time problem of the linear equations.
{"title":"Instability, nonexistence, and uniqueness in elasticity with porous dissipation","authors":"M. C. Leseduarte, R. Quintanilla","doi":"10.1155/DENM/2006/68748","DOIUrl":"https://doi.org/10.1155/DENM/2006/68748","url":null,"abstract":"This paper is devoted to the study of the elasticity with porous \u0000dissipation. In the context of the nonlinear problem, we prove \u0000instability and nonexistence of solutions. In the context of the \u0000linear problem, we obtain exponential growth. We also obtain \u0000uniqueness of solutions of the backward in time problem of the \u0000linear equations.","PeriodicalId":30100,"journal":{"name":"Differential Equations and Nonlinear Mechanics","volume":"2006 1","pages":"1-14"},"PeriodicalIF":0.0,"publicationDate":"2006-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/DENM/2006/68748","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64875493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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