I am interested in partial differential equations. Currently, I am working on singularity formation in incompressible fluids and related models. My research is inspired by the Hou-Luo scenario for a potential finite-time singularity of 3D incompressible Euler equations. An excellent survey on this direction can be found in Quanta Magazine.

I have also worked on calculus of variations and probability related problems.

• Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data. Jiajie Chen, Thomas Y. Hou, 2022.[arXiv]
• On stability and instability of $C^{1,\alpha}$ singular solutions to the 3D Euler and 2D Boussinesq equations. Jiajie Chen, Thomas Y. Hou, 2022. [arXiv]
• On the regularity of the De Gregorio model for the 3D Euler equations. Jiajie Chen, to appear in J. Eur. Math. Soc., 2021. [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]