关于二极固体与摩尔-吉布森-汤普森介质混合得到的复合材料

IF 1.7 4区 数学 Q1 Mathematics
Marin Marin, Sorin Vlase, Denisa Neagu
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引用次数: 0

摘要

我们的研究专门针对由偶极性弹性介质和粘性摩尔-吉布森-汤普森(MGT)材料组成的混合物。在此背景下考虑的带有初始和边界数据的混合问题,是从该问题的解的存在性以及解的唯一性的角度出发的。考虑到混合问题非常复杂,无论是从基本方程的角度还是从初始条件和边界数据的角度来看,经典方法都变得非常困难。因此,我们倾向于将其转化为一个方便构建的希尔伯特空间上的考希类型问题。通过这种方法,我们利用线性算子半群理论的技术,立即证明了解的存在性和唯一性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media
Our study is dedicated to a mixture composed of a dipolar elastic medium and a viscous Moore–Gibson–Thompson (MGT) material. The mixed problem with initial and boundary data, considered in this context, is approached from the perspective of the existence of a solution to this problem as well as the uniqueness of the solution. Considering that the mixed problem is very complex, both from the point of view of the basic equations and that of the initial conditions and the boundary data, the classical methods become difficult. That is why we preferred to transform it into a problem of Cauchy type on a conveniently constructed Hilbert space. In this way, we immediately proved both the existence and uniqueness of the solution, with techniques from the theory of semigroups of linear operators.
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来源期刊
Boundary Value Problems
Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
3.00
自引率
5.90%
发文量
83
审稿时长
4 months
期刊介绍: The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.
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