拟凸绝热热弹性方程测量值解的弱-强唯一性

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
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。
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
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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