论文标题
图表上的粘性扩散
Sticky diffusions on graphs
论文作者
论文摘要
我们考虑在每个顶点中具有半透明粘膜的度量图上的扩散过程。我们证明该过程受砍伐者半群的约束，并发现其渐近行为，因为扩散的速度随着与渗透率系数相同的速度增加至零。
We consider diffusion processes on metric graphs with semipermeable sticky membranes in each vertex. We prove that the process is governed by a Feller semigroup and find its asymptotic behavior as diffusion's speed increases to infinity with the same rate as permeability coefficients decreases to zero.
