Valentin Duruisseaux

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math.AP2026

Stable Singularity of the Euler Equations on $R^{3}$

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 $R^{3}$

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 $R^{3}$ . The present manuscript complements that s…

Stable Singularity of the Euler Equations on R3

Stability Framework for the Singularity of the Euler Equations on R3

Stable Singularity of the Euler Equations on $R^{3}$

Stability Framework for the Singularity of the Euler Equations on $R^{3}$