8 citations · 8 across the 8 of their papers we have counts for
5 papers · 1 filter
A clarification on the distinction between nonlocal error and profile residual error in a computer-assisted proof of 3D Euler singularity
Jiajie Chen, Thomas Y. Hou
In \cite{zhang2025dimension}, the author discusses the applicability of a nonexistence result for self-similar profiles to the Hou--Luo scenario and raises questions about the appr…
Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity
Jiajie Chen, Thomas Y. Hou
Computer-assisted proofs of self-similar singularity formation for fluid equations often rely on numerically constructed approximate profiles. One effective approach to establishin…
Asymptotically Self-Similar Blowup for 3D Incompressible Euler with Velocity II: 3D Profiles, Blowup, and Limiting behavior
Jiajie Chen
For any , we construct exact self-similar blowup profiles for the vorticity of the 3D incompressible Euler equation without swirl, and build on them to prove as…
Asymptotically Self-Similar Blowup for 3D Incompressible Euler with Velocity I: 1D Limiting Profiles
Jiajie Chen
We consider a one-parameter family of 1D models for the 3D axisymmetric incompressible Euler equation with vorticity and without swirl near the symmetry axis. For $α= \frac13…
Smooth and stable Euler implosions
Jiajie Chen, Steve Shkoller, Vlad Vicol
We construct a new class of self-similar implosion profiles for the multi-dimensional compressible Euler equations. These profiles are smooth, genuinely non-isentropic, radially/sp…