论文标题
由快速扩散线驱动的自由边界的形状
The shape of a free boundary driven by a line of fast diffusion
论文作者
论文摘要
我们完成了在[6]中启动的描述，该描述是在半平面以恒定速度行驶的自由边界，在该速度下，传播是通过单独扩散大扩散的线控制的。这项工作的主要结果是，自由边界是无穷大的线渐近线，其与水平的角度因线施加的波的速度所占据。这有助于理解[8]的一些相当违反直觉的数值模拟。
We complete the description, initiated in [6], of a free boundary travelling at constant speed in a half plane, where the propagation is controlled by a line having a large diffusion on its own. The main result of this work is that the free boundary is asymptotic to a line at infinity, whose angle to the horizontal is dicatated by the velocity of the wave imposed by the line. This helps understanding some rather counter-intuitive numerical simulations of [8].
