Research

Publications

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity. Jiajie Chen, Thomas Y. Hou. Submitted, 2026. [arXiv]
A new class of Euler explosions. Jiajie Chen, Giorgio Cialdea, Steve Shkoller, Vlad Vicol. Submitted, 2026. [arXiv]
Asymptotically self-similar blowup for 3D incompressible Euler with $C^{1,1/3-}$ velocity II: 3D profiles, blowup, and limiting behavior. Jiajie Chen. Submitted, 2026. [arXiv]
Asymptotically self-similar blowup for 3D incompressible Euler with $C^{1,1/3-}$ velocity I: $C^{\infty}$ 1D limiting profiles. Jiajie Chen. Submitted, 2026. [arXiv]
Smooth and stable Euler implosions. Jiajie Chen, Steve Shkoller, Vlad Vicol. Submitted, 2026. [arXiv]
Finite time singularities in the Landau equation with very hard potentials. Jacob Bedrossian, Jiajie Chen, Maria P. Gualdani, Sehyun Ji, Vlad Vicol, Jincheng Yang. Submitted, 2026. [arXiv]
Singularity formation in 3D Euler equations with smooth initial data and boundary. Jiajie Chen, Thomas Y. Hou, Proceedings of the National Academy of Sciences 122, no. 27 (2025). [Journal]
Blowup for the defocusing septic complex-valued nonlinear wave equation in $R^{4+1}$. Tristan Buckmaster, Jiajie Chen, Communications of the American Mathematical Society, 6 (2026): 947-1020. [arXiv]
Vorticity blowup in compressible Euler equations in $R^d$. Jiajie Chen, Annals of PDE 11.2 (2025): 1-71. [arXiv]
On the stability of blowup solutions to the complex Ginzburg-Landau equation in $R^d$. Jiajie Chen, Thomas Y. Hou, Van Tien Nguyen, Yixuan Wang, Annals of PDE 11.2 (2025): 29.[arXiv]
Vorticity blowup in 2D compressible Euler equations. Jiajie Chen, Giorgio Cialdea, Steve Shkoller, Vlad Vicol, To appear in Duke Math. J., 2024. [arXiv]
Nearly self-similar blowup of the slightly perturbed homogeneous Landau equation with very soft potentials. Jiajie Chen, Journal of Functional Analysis (2026): 111626.[arXiv]
Remarks on the smoothness of the $ C^{1,\alpha} $ asymptotically self-similar singularity in the 3D Euler and 2D Boussinesq equations. Jiajie Chen, Nonlinearity 37.6 (2024): 065018. [arXiv]
Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous Numerics. Jiajie Chen, Thomas Y. Hou, Multiscale Modeling & Simulation 23.1 (2025): 25-130. [arXiv]
Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis. Jiajie Chen, Thomas Y. Hou. Submitted, 2023.[arXiv]
On stability and instability of $C^{1,\alpha}$ singular solutions to the 3D Euler and 2D Boussinesq equations. Jiajie Chen, Thomas Y. Hou, Comm. Math. Phys. 405 (2024), no. 5, Paper No. 112, 53 pp. [arXiv]
On the regularity of the De Gregorio model for the 3D Euler equations. Jiajie Chen, J. Eur. Math. Soc., 2023. [arXiv]
Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations. Jiajie Chen, Thomas Y. Hou, De Huang, Ann. PDE 8, 24 (2022). https://doi.org/10.1007/s40818-022-00140-7. [arXiv]
On the Slightly Perturbed De Gregorio Model on $S^1$. Jiajie Chen, Arch. Rational Mech. Anal. 241, 1843–1869 (2021). [arXiv]
Finite time blowup of 2D Boussinesq and 3D Euler equations with $C^{1,\alpha}$ velocity and boundary. Jiajie Chen, Thomas Y. Hou, Comm. Math. Phys. 383 (2021), no. 3, 1559–1667. [arXiv]
Singularity formation and global well-posedness for the generalized Constantin-Lax-Majda equation with dissipation. Jiajie Chen, Nonlinearity 33 (2020), no. 5, 2502–2532. [arXiv]
On the finite time blowup of the De Gregorio model for the 3D Euler equation. Jiajie Chen, Thomas Y. Hou, De Huang, Comm. Pure Appl. Math. 74 (2021), no. 6, 1282–1350. [arXiv]
A pseudo knockoff filter for correlated features. Jiajie Chen, Anthony Hou, Thomas Y. Hou, Inf. Inference 8 (2019), no. 2, 313–341. [arXiv]
A Prototype Knockoff Filter for Group Selection with FDR Control. Jiajie Chen, Anthony Hou, Thomas Y. Hou, Inf. Inference 9 (2020), no. 2, 271–288. [arXiv]
Local minimizer and De Giorgi’s type conjecture for the isotropic–nematic interface problem. Jiajie Chen, Pingwen Zhang, Zhifei Zhang, Calc. Var. Partial Differential Equations 57 (2018), no. 5, Paper No. 129, 19 pp.[Journal]

Research

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Thesis