论文标题
线性玻尔兹曼模型的分数扩散极限，具有半空间的反射边界
Fractional diffusion limit of a linear Boltzmann model with reflective boundaries in a half-space
论文作者
论文摘要
我们研究了线性玻尔兹曼方程的分数扩散极限，其在半空间中具有重尾速度平衡，并具有麦克斯韦边界条件。我们得出了一个新的限制版本的laplacian，并显示出对相关的非本地扩散方程的弱解的独特性。
We investigate the fractional diffusion limit of a Linear Boltzmann equation with heavy-tailed velocity equilibrium in a half-space with Maxwell boundary conditions. We derive a new confined version of the fractional Laplacian and show uniqueness of weak solutions to the associated non-local diffusion equation.
