Evidence item

The abstract directly reports a stable finite-time 3D Euler singularity profile found using a PINN with a self-similar ansatz. DIRECT_TEXT

Authenticity UNVERIFIED · extraction UNVERIFIED · independence group none (unreviewed) · created seq 12677

Source: Stable Singularity of the Euler Equations on R^3 · locator {} · excerpt hash sha256:598d28861b11bbbcb9d1b0c05e34640782739aeb3f4b794141797224b2952e62

We provide evidence of a stable finite-time singularity in the 3D Euler equations on the unbounded domain. Using a physics-informed neural network (PINN) with a self-similar ansatz, we find an approximate singular profile for the Euler system at the critical blowup rate of 0.5.