58 citations · 175 across the 13 of their papers we have counts for
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math.AP2019★ 58 cited
Finite time blowup of 2D Boussinesq and 3D Euler equations with velocity and boundary
Jiajie Chen, Thomas Y. Hou
Inspired by the numerical evidence of a potential 3D Euler singularity by Luo-Hou [30,31] and the recent breakthrough by Elgindi [11] on the singularity formation of the 3D Euler e…
math.AP2019★ 20 cited
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…
math.AP2019★ 48 cited
On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equation
Jiajie Chen, Thomas Y. Hou, De Huang
We present a novel method of analysis and prove finite time asymptotically self-similar blowup of the De Gregorio model \cite{DG90,DG96} for some smooth initial data on the real li…