论文标题
反应扩散方程的速度选择在异质环境中
Speed Selection for Reaction Diffusion Equations in Heterogeneous Environments
论文作者
论文摘要
在定期设置和一般类型的非线性中，反应 - 辅助扩散方程接收一个被称为最小传播速度的阈值。例如，当非线性不是KPP类型时，最小速度没有可访问的公式。问题变成是否可以通过线性化过程获得最小速度。在本文中，我们得出了最低速度的选择标准：非线性选择的关键特征已揭幕。此外，我们使用上/下溶液技术来得出实用标准，以确定在存在对流和一般类型非线性的情况下速度最小的标准。
Reaction-advection-diffusion equations, in periodic settings and with general type nonlinearities, admit a threshold known as the minimal speed of propagation. The minimal speed does not have an accessible formula when the nonlinearity is not of KPP type, for instance. The question becomes whether the minimal speed can be obtained through a linearization procedure or not. In this paper, we derive selection criteria for the minimal speed: a key feature of the nonlinear selection is unveiled. Moreover, we use upper/lower solution techniques in order to derive practical criteria determining the minimal speed in the presence of advection and a general type nonlinearilty.
