有界域上的Biot-Savart算子
The Biot-Savart operator of a bounded domain
摘要：
我们构造了有界域上的Biot-Savart积分的模拟。具体而言，我们表明，不可压缩流体的速度场与切线边界条件上的有界域可以写在其涡度使用积分核$K_Ω(x,y)$，具有反平方奇异的对角线上。
英文摘要：
We construct the analog of the Biot-Savart integral for bounded domains. Specifically, we show that the velocity field of an incompressible fluid with tangency boundary conditions on a bounded domain can be written in terms of its vorticity using an integral kernel $K_Ω(x,y)$ that has an inverse-square singularity on the diagonal.
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。
