初曲率在广义无粘Proudman-Johnson方程解中的作用
The Role of Initial Curvature in Solutions to the Generalized Inviscid Proudman-Johnson Equation
摘要：
在[20]中，我们导出了广义无粘Proudman-Johnson方程的空间周期解的表示公式，并研究了它们在几类初值下的正则性。本文的目的是将这些结果推广到更大的函数类，包括那些在域中特定点附近具有任意局部曲率的函数类。
英文摘要：
In [20], we derived representation formulae for spatially periodic solutions to the generalized, inviscid Proudman-Johnson equation and studied their regularity for several classes of initial data. The purpose of this paper is to extend these results to larger classes of functions including those having arbitrary local curvature near particular points in the domain.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
