3 papers
math.AP2026
Stable Singularity of the Euler Equations on
Adarsh Ganeshram, Valentin Duruisseaux, Anima Anandkumar
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…
math.AP2026
Stability Framework for the Singularity of the Euler Equations on
Valentin Duruisseaux, Adarsh Ganeshram, Robert J. George +1
In a companion numerical study, we found a high-precision singular profile for the Euler equations on the unbounded domain . The present manuscript complements that s…
cs.LG2026
Equation Recast for Canonical Operator Learning Across Parametric PDEs
Qiyun Cheng, Valentin Duruisseaux, Cesar F. Clauser +7
Learning solution operators across broad parameter ranges can require substantial coverage of both input functions and physical parameters, particularly for purely data-driven para…