On the De Gregorio modification of the Constantin-Lax-Majda Model

Hao Jia, Samuel Stewart, Vladimir Sverak

We study a modification due to De Gregorio of the Constantin-Lax-Majda (CLM) model ${\omega }_t=\omega H\omega$ on the unit circle. The De Gregorio equation is ${\omega }_t+u{\omega }_x-u_x\omega =0,u_x=H\omega .$ In cont…