论文标题
线性热弹性杆
Linear relativistic thermoelastic rod
论文作者
论文摘要
我们得出并分析了描述相对论热传导弹性杆的线性双曲线方程。我们为这些方程式构建了一个减少的能量积分，计算相关的特征传播速度，并证明溶液通过使用傅立叶分解而及时衰减。出于比较的目的，我们获得了具有热浪的经典系统的类似结果，其中保留了有限的热传播速度，但其他相对论术语也被忽略了，也忽略了通常的经典系统。
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.
