Jiajie Chen

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math.AP2026

Finite time singularities in the Landau equation with very hard potentials

Jacob Bedrossian, Jiajie Chen, Maria Pia Gualdani +3

We consider the inhomogeneous Landau equation with $I^^{3} \in (3, 2]$ and construct smooth, strictly positive initial data that develop a finite time singularity. The $C^{I^} \pm$ -norm…

math.AP2024

Blowup for the defocusing septic complex-valued nonlinear wave equation in $R^{4 + 1}$

Tristan Buckmaster, Jiajie Chen

In this paper, we prove blowup for the defocusing septic complex-valued nonlinear wave equation in $R^{4 + 1}$ . This work builds on the earlier results of Shao, Wei, and Zha…

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…

Finite time singularities in the Landau equation with very hard potentials

Blowup for the defocusing septic complex-valued nonlinear wave equation in R4+1

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

Blowup for the defocusing septic complex-valued nonlinear wave equation in $R^{4 + 1}$

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