Research

Publications

Blowup for the defocusing septic complex-valued nonlinear wave equation in $R^{4+1}$. Tristan Buckmaster, Jiajie Chen. arXiv preprint, 2024. [arXiv]
Vorticity blowup in compressible Euler equations in $R^d$. Jiajie Chen. arXiv preprint, 2024. [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. Submitted, 2024. [arXiv]
Vorticity blowup in 2D compressible Euler equations. Jiajie Chen, Giorgio Cialdea, Steve Shkoller, Vlad Vicol. Submitted, 2024. [arXiv]
Nearly self-similar blowup of the slightly perturbed homogeneous Landau equation with very soft potentials. Jiajie Chen. Submitted, 2023. [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. Submitted, 2023.[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