We consider a family of nonlocal problems that model the effects of transport and vortex stretching in the incompressible Euler equations. Using modulation techniques, we establish stable self-similar blow-up near a family of known self-similar blow-up solutions.

中文翻译：

---

一类非局部输运方程的稳定自相似爆破

我们考虑了一系列非局部问题，它们在不可压缩的欧拉方程中模拟了输运和涡旋拉伸的影响。使用调制技术，我们在一系列已知的自相似爆炸解决方案附近建立了稳定的自相似爆炸。