拟凸绝热热弹性方程测度值解的弱-强唯一性
Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity
摘要:
本文研究了具有内能的绝热热弹性方程,该方程满足与系统对称性条件相联系的适当的拟凸性假设。证明了这类拟凸函数的一个Gårding型不等式,并利用该不等式建立了一类耗散测度值解的弱-强唯一性结果.
英文摘要:
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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