论文标题
广义的Cattaneo（Telegrapher's）方程和相应的随机步行
The generalized Cattaneo (telegrapher's) equation and corresponding random walks
论文作者
论文摘要
研究了各种类型的广义Cattaneo，称为Telegrapher's方程。我们发现，到目前为止所考虑的方程解决方案的解决方案可以识别为概率分布，\ textIt {i.e。}在其域上是可正常的，并且在其域上是不负的。对相关平方平方位移的分析使我们能够分类由这种获得的溶液描述的扩散过程，并使用普通或异常的超级或次扩散识别它们。为了完成我们的研究，我们分析了仅考虑的示例的推导，使用连续的时间随机步行和持续的随机步行方法。
The various types of generalized Cattaneo, called also telegrapher's equation, are studied. We find conditions under which solutions of the equations considered so far can be recognized as probability distributions, \textit{i.e.} are normalizable and non-negative on their domains. Analysis of the relevant mean squared displacements enables us to classify diffusion processes described by such obtained solutions and to identify them with either ordinary or anomalous super- or subdiffusion. To complete our study we analyse derivations of just considered examples the generalized Cattaneo equations using the continuous time random walk and the persistent random walk approaches.
