Return to Colloquia & Seminar listing
On the generalized Constantin-Lax-Majda Model for the 3D Euler equations
Student-Run Analysis & PDE| Speaker: | Jiajie Chen, Caltech |
| Related Webpage: | https://arxiv.org/abs/1908.09385 |
| Location: | Zoom |
| Start time: | Thu, Jan 21 2021, 1:10PM |
De Gregorio, Okamoto et.al. introduced the (gCLM) model $w_t + u w_x = u_x w$, a generalization of the Constantin-Lax-Majda model $w_t = u_x w$, to model the effect of advection and vortex stretching in the 3D incompressible Euler equations. Here, $u_x$ is given by the Hilbert transform $H$ of $w$: $u_x = H w$. In this talk, we will discuss several results on the singularity formation of gCLM, which are related to two conjectures about this model. Some of the results are joint with Tom Hou and De Huang.
Related papers:
https://arxiv.org/abs/2010.12700
https://arxiv.org/abs/1908.09385
https://arxiv.org/abs/1905.06387
Zoom link: https://ucdavis.zoom.us/j/91748527825?
Passcode: first six digits of pi