广义Cattaneo方程及其随机游动
The generalized Cattaneo (telegrapher's) equation and corresponding random walks
摘要：
研究了广义Cattaneo方程的各种类型，也称电报员方程.我们发现的条件下，所考虑的方程的解决方案，到目前为止，可以被认为是概率分布，\textit{i.e.}是正规化和非负的域。相关的均方位移的分析，使我们能够分类的扩散过程所描述的这样得到的解决方案，并确定它们与普通或异常的超或subdiffusion。为了完成我们的研究，我们分析推导的只是考虑的例子，广义Cattaneo方程使用连续时间随机游走和持续随机游走的方法。
英文摘要：
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.
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