多孔耗散弹性的不稳定性、不存在性和唯一性

Differential Equations and Nonlinear Mechanics Pub Date : 2006-01-03 DOI:10.1155/DENM/2006/68748

M. C. Leseduarte, R. Quintanilla

{"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":null,"pages":null},"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\":null,\"pages\":null},\"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}

引用次数: 7

摘要

本文主要研究具有多孔耗散的弹性力学问题。对于非线性问题，我们证明了解的不稳定性和不存在性。在线性问题的背景下，我们得到了指数增长。我们还得到了线性方程的逆时问题解的唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Differential Equations and Nonlinear Mechanics

自引率

0.00%

发文量

审稿时长

20 weeks