Jiajie Chen

collaborators

4 papers

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 $γ \in (3, 2]$ and construct smooth, strictly positive initial data that develop a finite time singularity. The $C^{α}$ -norm o…

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…

math.NA2024

A high-order Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for scalar nonlinear conservation laws

Jiajie Chen, Joseph Nakao, Jing-Mei Qiu +1

We present a class of high-order Eulerian-Lagrangian Runge-Kutta finite volume methods that can numerically solve Burgers' equation with shock formations, which could be extended t…

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

A high-order Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for scalar nonlinear conservation laws

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

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