论文标题
扩散方程的加速解决方案
Accelerating solutions to the diffusion equation
论文作者
论文摘要
我们报告使用恒定扩散张量的扩散方程加速扩散溶液。扩散密度的最大值以通风函数描述的加速方式演变。我们显示了一维系统以及一般三维情况的扩散加速行为。 我们还构建了保留加速功能的扩散解决方案的调制修饰形式。
We report accelerating diffusive solutions to the diffusion equation with a constant diffusion tensor. The maximum values of the diffusion density evolve in an accelerating fashion described by Airy functions. We show the diffusive accelerating behavior for one--dimensional systems, as well as for a general three--dimensional case. We also construct a modulated modified form of the diffusion solution that retains the accelerating features.
