论文标题
与混合边界条件的广义接触过程的流体动力和静静力极限
Hydrodynamic and hydrostatic limit for a generalized contact process with mixed boundary conditions
论文作者
论文摘要
我们考虑一种建模无菌昆虫技术的相互作用粒子系统。它是通用接触过程的叠加，并在有限的圆柱体上交换了颗粒的交换（参见Kuoch等，2017）。我们表明，当系统以不同的减速速率与储层接触时，流体动力学极限是一组具有混合边界条件的非线性反应扩散方程。当宏观方程式表现出独特的吸引子时，我们还证明了静液压极限。
We consider an interacting particle system which models the sterile insect technique. It is the superposition of a generalized contact process with exchanges of particles on a finite cylinder with open boundaries (see Kuoch et al., 2017). We show that when the system is in contact with reservoirs at different slowdown rates, the hydrodynamic limit is a set of coupled non linear reaction-diffusion equations with mixed boundary conditions. We also prove the hydrostatic limit when the macroscopic equations exhibit a unique attractor.
