线性相对论热弹性杆
Linear relativistic thermoelastic rod
摘要：
推导并分析了相对论导热弹性杆的线性化双曲方程。我们构造了一个递减的能量积分这些方程，计算相关的特征传播速度，并证明了解决方案衰减的时间通过使用傅立叶分解。为了比较的目的，我们得到类似的结果与经典系统的热波，其中有限的热传播速度保持，但其他相对论性条款被忽略，也为通常的经典系统。
英文摘要：
We derive and analyze the linearized hyperbolic equations describing a relativistic heat-conducting elastic rod. We construct a decreasing energy integral for these equations, compute the associated characteristic propagation speeds, and prove that the solutions decay in time by using a Fourier decomposition. For comparison purposes, we obtain analogous results for the classical system with heat waves, in which the finite propagation speed of heat is kept but the other relativistic terms are neglected, and also for the usual classical system.
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