论文标题
存在于SQG方程的涡流表解决方案
Existence of vortex sheet solutions to the SQG Equation
论文作者
论文摘要
本文介绍了SQG方程的涡流板的存在。更确切地说,我们构建了一个固定涡流板溶液的家族,该家族集中在曲线上,这些曲线是以给定的非分类临界点为中心的圆的小扰动。据我们所知,这是对SQG方程中涡流纸的存在的新成果。
This paper addresses the existence of vortex sheets for the SQG equation. More precisely, we construct a family of stationary vortex sheet solutions that are concentrated on curves that are small perturbations of circles centered on a given non-degenerate critical point. To the best of our knowledge, this is a novel result on the existence of vortex sheets to the SQG equation.