论文标题
普遍选择拉的前线
Universal selection of pulled fronts
论文作者
论文摘要
我们在入侵过程中建立了关键拉动前线的选择。我们的结果表明，与对数偏移的融合趋势，用于开放的陡峭初始数据，包括一侧紧凑的初始条件。我们依靠稳健的，概念上的假设，即以线性扩张速度行驶的前部的存在和边缘光谱稳定性。我们证明，空间扩展系统的开放类别的假设存在。先前的结果依赖于对等式的初始数据和结构的比较原理或概率工具。从技术上讲，我们通过高斯前缘与拉动前沿的相互作用来描述入侵过程。关键成分是尖锐的线性衰变估计值，以控制非线性匹配中的错误和从初始数据校正。
We establish selection of critical pulled fronts in invasion processes. Our result shows convergence to a pulled front with a logarithmic shift for open sets of steep initial data, including one-sided compactly supported initial conditions. We rely on robust, conceptual assumptions, namely existence and marginal spectral stability of a front traveling at the linear spreading speed. We demonstrate that the assumptions hold for open classes of spatially extended systems. Previous results relied on comparison principles or probabilistic tools with implied non-open conditions on initial data and structure of the equation. Technically, we describe the invasion process through the interaction of a Gaussian leading edge with the pulled front in the wake. Key ingredients are sharp linear decay estimates to control errors in the nonlinear matching and corrections from initial data.
