{"title":"多孔耗散弹性的不稳定性、不存在性和唯一性","authors":"M. C. Leseduarte, R. Quintanilla","doi":"10.1155/DENM/2006/68748","DOIUrl":null,"url":null,"abstract":"This paper is devoted to the study of the elasticity with porous \ndissipation. In the context of the nonlinear problem, we prove \ninstability and nonexistence of solutions. In the context of the \nlinear problem, we obtain exponential growth. We also obtain \nuniqueness of solutions of the backward in time problem of the \nlinear equations.","PeriodicalId":30100,"journal":{"name":"Differential Equations and Nonlinear Mechanics","volume":"2006 1","pages":"1-14"},"PeriodicalIF":0.0000,"publicationDate":"2006-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/DENM/2006/68748","citationCount":"7","resultStr":"{\"title\":\"Instability, nonexistence, and uniqueness in elasticity with porous dissipation\",\"authors\":\"M. C. Leseduarte, R. Quintanilla\",\"doi\":\"10.1155/DENM/2006/68748\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is devoted to the study of the elasticity with porous \\ndissipation. In the context of the nonlinear problem, we prove \\ninstability and nonexistence of solutions. In the context of the \\nlinear problem, we obtain exponential growth. We also obtain \\nuniqueness of solutions of the backward in time problem of the \\nlinear equations.\",\"PeriodicalId\":30100,\"journal\":{\"name\":\"Differential Equations and Nonlinear Mechanics\",\"volume\":\"2006 1\",\"pages\":\"1-14\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-01-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1155/DENM/2006/68748\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations and Nonlinear Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/DENM/2006/68748\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Nonlinear Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/DENM/2006/68748","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Instability, nonexistence, and uniqueness in elasticity with porous dissipation
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.