微温度下的高阶多孔热弹性问题

IF 4.5 2区工程技术 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-10-31 DOI:10.1007/s10483-023-3049-8

J. R. Fernández, R. Quintanilla

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引用次数: 0

摘要

在本文中，我们研究了一个具有微温度的多孔热弹性问题，该问题在热变量的时间导数中假设为抛物型高阶。该模型被推导并写成一个耦合的线性系统。然后，在不假定机械能是正定的情况下，用对数凸性方法证明了一个唯一性结果。最后，通过引入能量函数并应用线性半群理论，得到了解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A higher-order porous thermoelastic problem with microtemperatures

In this paper, we study a porous thermoelastic problem with microtemperatures assuming parabolic higher order in time derivatives for the thermal variables. The model is derived and written as a coupled linear system. Then, a uniqueness result is proved by using the logarithmic convexity method in the case that we do not assume that the mechanical energy is positive definite. Finally, the existence of the solution is obtained by introducing an energy function and applying the theory of linear semigroups.

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来源期刊

Applied Mathematics and Mechanics-English Edition 数学-力学

CiteScore

6.70

自引率

9.10%

发文量

106

审稿时长

2.0 months

期刊介绍： Applied Mathematics and Mechanics is the English version of a journal on applied mathematics and mechanics published in the People''s Republic of China. Our Editorial Committee, headed by Professor Chien Weizang, Ph.D., President of Shanghai University, consists of scientists in the fields of applied mathematics and mechanics from all over China. Founded by Professor Chien Weizang in 1980, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.