论文标题
余震的现象学
The Phenomenology of Aftershocks
论文作者
论文摘要
提出的论文致力于寻找数学基础，以描述强烈地震的余震演变。我们将实验事实和启发式论证视为允许做出选择并专注于非线性扩散方程作为主方程的实验性论证。对主方程的分析表明，显然，选定的数学基础使得可以模拟从实验已知的余震演变的两个重要特性。我们谈论的是欧摩尔法律和主要冲击中心的余震缓慢传播。关键字：地震，余震的传播，欧摩里法律，停用系数，非线性扩散，主方程，反问题
The presented paper is devoted to the search for mathematical basis for describing the aftershock evolution of strong earthquakes. We consider the experimental facts and heuristic arguments that allow to make a choice and to focus on the nonlinear diffusion equation as the master equation. Analysis of the master equation indicates that, apparently, the selected mathematical basis makes it possible to simulate two important properties of the aftershock evolution known from the experiment. We are talking about the Omori law and the slow propagation of aftershocks from the epicenter of the main shock. Keywords: earthquakes, propagation of aftershocks, Omori law, deactivation coefficient, nonlinear diffusion, master equation, inverse problem
