Jiajie Chen

activity

20142024

most citedValidating Sample Average Approximation Solutions with Negatively Dependent Batches

6 citations · 6 across the 4 of their papers we have counts for

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math.AP2024

Vorticity blowup in compressible Euler equations in $R^{d}, d \geq 3$

Jiajie Chen

We prove finite-time vorticity blowup in the compressible Euler equations in $R^{d}$ for any $d \geq 3$ , starting from smooth, localized, and non-vacuous initial data. This…

math.AP2024

On the stability of blowup solutions to the complex Ginzburg-Landau equation in R^d

Jiajie Chen, Thomas Y. Hou, Van Tien Nguyen +1

Building upon the idea in \cite{HNWarXiv24}, we establish stability of the type-I blowup with log correction for the complex Ginzburg-Landau equation. In the amplitude-phase repres…

math.AP2023

Remarks on the smoothness of the $C^{1, α}$ asymptotically self-similar singularity in the 3D Euler and 2D Boussinesq equations

Jiajie Chen

We show that the constructions of $C^{1, α}$ asymptotically self-similar singularities for the 3D Euler equations by Elgindi, and for the 3D Euler equations with large swirl and 2D…

Vorticity blowup in compressible Euler equations in Rd,d≥3

On the stability of blowup solutions to the complex Ginzburg-Landau equation in R^d

Remarks on the smoothness of the C1,α asymptotically self-similar singularity in the 3D Euler and 2D Boussinesq equations

Vorticity blowup in compressible Euler equations in $R^{d}, d \geq 3$

Remarks on the smoothness of the $C^{1, α}$ asymptotically self-similar singularity in the 3D Euler and 2D Boussinesq equations