3 papers
math.AP2021
Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations
Jiajie Chen, Thomas Y. Hou, De Huang
Inspired by the numerical evidence of a potential 3D Euler singularity \cite{luo2014potentially,luo2013potentially-2}, we prove finite time singularity from smooth initial data for…
math.AP2020
On the Slightly Perturbed De Gregorio Model on
Jiajie Chen
It is conjectured that the generalization of the Constantin-Lax-Majda model (gCLM) due to Okamoto, Sakajo and Wunsch can develop a finite time singularity fr…
math.AP2019
Singularity Formation and Global Well-Posedness for the Generalized Constantin-Lax-Majda Equation with Dissipation
Jiajie Chen
We study a generalization due to De Gregorio and Wunsch et.al. of the Constantin-Lax-Majda equation (gCLM) on the real line \[ ω_t + a u ω_x = u_x ω- νΛ^γ ω, \quad u_x = H ω, \] wh…