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math.PR2023
A suitable nonlinear Stratonovich noise prevents blow-up in the Euler equations and other SPDEs
Marco Bagnara
We perturb the 3D Euler equations by a particular non-linear Stratonovich noise. We show the existence and uniqueness of a global-in-time (i.e. no blow-up) smooth solution. The res…
math.PR2023★ 7 cited
No blow-up by nonlinear Itô noise for the Euler equations
Marco Bagnara, Mario Maurelli, Fanhui Xu
By employing a suitable multiplicative Itô noise with radial structure and with more than linear growth, we show the existence of a unique, global-in-time, strong solution for the…