拟凸绝热热弹性方程测量值解的弱-强唯一性

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2021-09-30 DOI:10.1080/03605302.2022.2047725

Myrto Galanopoulou, Andreas Vikelis, K. Koumatos

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引用次数: 3

摘要

摘要本文研究了具有内能的绝热热弹性方程，该方程满足一个适当的拟凸性假设，该假设与系统的对称性条件有关。证明了这些拟凸函数的Gårding型不等式，并用它建立了一类耗散测度值解的弱-强唯一性结果。

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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Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity

Abstract This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symmetrisability condition for the system. A Gårding-type inequality for these quasiconvex functions is proved and used to establish a weak-strong uniqueness result for a class of dissipative measure-valued solutions.

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.