We propose a model for studying several nonlinear waves for heat transport along a cylindrical system with lateral non-linear heat transfer to the environment. We consider relaxational equations, each with its own relaxation time, for longitudinal heat transfer and for lateral heat transfer across the wall. We consider two kinds of nonlinear lateral heat transport: radiative heat transport, and flux-limited heat transport. This work generalizes our previous studies in which the relaxation time for the lateral heat transfer was considered equal to that of the longitudinal heat flux. We explore the influence of both relaxation times on the propagation speed of linear and nonlinear waves, and on the form of nonlinear waves.

我们提出了一个模型，用于研究沿着圆柱系统的热传递的几个非线性波，其中横向非线性热传递到环境。我们考虑松弛方程，每个方程都有自己的松弛时间，用于纵向传热和横向传热。我们考虑两种非线性的横向传热：辐射传热和通量限制传热。这项工作概括了我们以前的研究，其中横向传热的弛豫时间被认为等于纵向热通量的弛豫时间。我们探讨了弛豫时间对线性和非线性波的传播速度以及非线性波形式的影响。