Leray-Alpha方程的Gevrey正则类

摘要

本文考查了三维周期边界条件下的Leray-Alpha方程,证明了在Gevrey函数类(关于空间变量)中取值的方程的解关于时间是解析的.%We prove that the solutions of the three dimensional Leray-Alpha equations with periodicboundary condition are analytic in time with values in a Gevrey class of functions(for the space variable).