Jiajie Chen

most citedValidating Sample Average Approximation Solutions with Negatively Dependent Batches

6 citations · 6 across the 2 of their papers we have counts for

collaborators

4 papers

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…

stat.OT2014★ 6 cited

Validating Sample Average Approximation Solutions with Negatively Dependent Batches

Jiajie Chen, Cong Han Lim, Peter Z. G. Qian +2

Sample-average approximations (SAA) are a practical means of finding approximate solutions of stochastic programming problems involving an extremely large (or infinite) number of s…

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

Validating Sample Average Approximation Solutions with Negatively Dependent Batches

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