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math.AP2025
Dissipative solutions to randomly forced 3D Euler equations
Umberto Pappalettera, Francesco Triggiano
The purpose of this work is twofold. First, we construct probabilistically strong solutions to the three-dimensional Euler equations perturbed by additive noise that are $\mathbb{P…
math.AP2024
Non-uniqueness of weak solutions for a logarithmically supercritical hyperdissipative Navier-Stokes system
Marco Romito, Francesco Triggiano
The existence of non-unique solutions of finite kinetic energy for the three dimensional Navier-Stokes equations is proved in the slightly supercritical hyper-dissipative setting i…