3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2026
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…