论文标题
依赖时空的均匀化KPP反应扩散方程和G-方程
Homogenization for Space-Time-Dependent KPP Reaction-Diffusion Equations and G-Equations
论文作者
论文摘要
我们证明了与随机时空依赖性的KPP反应的反应辅助扩散方程的随机均匀化，其时间相关性在适当的意义上是衰减的。我们表明，有限的均质动态具有简单的形式，可以从初始基准的支持下以某些确定性方向依赖性速度进行扩展。我们获得了随机火焰速度和不可压缩背景对流的G-方程的类似结果。我们证明中的重要成分是非自主的亚粘附定理，以及伴侣论文的KPP反应的虚拟线性原理[30，35]。
We prove stochastic homogenization for reaction-advection-diffusion equations with random space-time-dependent KPP reactions with temporal correlations that are decaying in an appropriate sense. We show that the limiting homogenized dynamic has the simple form of spreading with some deterministic direction-dependent speeds from the support of the initial datum. We obtain analogous results for G-equations with random flame speeds and incompressible background advections. Important ingredients in our proofs are a non-autonomous subadditive theorem and the principle of virtual linearity for KPP reactions from the companion papers [30, 35].
