论文标题
边界驱动超排除对称排除的流体动力极限
Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion
论文作者
论文摘要
我们研究了具有重型跳远并与无限扩展的储层接触的对称排除过程模型的流体动力极限。我们展示了相应的流体动力方程如何受到定义模型的参数的影响。流体动力方程的特征在于一类超排除操作员，这些算子由区域分数拉普拉斯（Laplacian）给出，并具有一些其他反应项和各种边界条件。这项工作解决了有关同一模型的一些问题。
We study the hydrodynamic limit for a model of symmetric exclusion processes with heavy-tailed long jumps and in contact with infinitely extended reservoirs. We show how the corresponding hydrodynamic equations are affected by the parameters defining the model. The hydrodynamic equations are characterized by a class of super-diffusive operators that are given by the regional fractional Laplacian with some additional reaction terms and various boundary conditions. This work solves some questions left open in \cite{BJGO2} about the same model.
