标题： 杨-米尔斯场在闵可夫斯基和施瓦茨希尔德背景下的晚期尾迹 显示英文标题

标题： Late-time tails of a Yang-Mills field on Minkowski and Schwarzschild backgrounds

摘要： 我们研究了在闵可夫斯基和施瓦茨希尔德背景下的杨-米尔斯方程的球对称解的晚期行为。使用非线性摄动理论，我们在两种情况下都证明了具有光滑紧支撑初始数据的解在类时无穷远处的尾部衰减为$t^{-4}$。此外，对于闵可夫斯基背景下的小初始数据，我们推导出尾部振幅的三阶公式，并通过数值验证了其准确性。 显示英文摘要

摘要： We study the late-time behavior of spherically symmetric solutions of the Yang-Mills equations on Minkowski and Schwarzschild backgrounds. Using nonlinear perturbation theory we show in both cases that solutions having smooth compactly supported initial data posses tails which decay as $t^{-4}$ at timelike infinity. Moreover, for small initial data on Minkowski background we derive the third-order formula for the amplitude of the tail and confirm numerically its accuracy.