论文标题
在类似角的GSQG补丁的演变中
On evolution of corner-like gSQG patches
论文作者
论文摘要
我们研究了广义SQG方程的角状斑块溶液的演变。根据速度内核的角度和顺序,拐角瞬间向下或向上弯曲。特别是,我们获得了严格的凸和光滑斑块解决方案的存在,这些解决方案立即成为非凸。
We study the evolution of corner-like patch solutions to the generalized SQG equations. Depending on the angle size and order of the velocity kernel, the corner instantaneously bents either downward or upward. In particular, we obtain the existence of strictly convex and smooth patch solutions which become immediately non-convex.