collaborators

5 papers

math.PR2025

The Navier-Stokes equations with transport noise in critical space

Mustafa Sencer Aydın, Fanhui Xu

We study the Navier-Stokes equations with transport noise in critical function spaces. Assuming the initial data belongs to almost surely, we establish the existence and…

math.PR2025

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…

math.PR2025

The stochastic Navier-Stokes equations with general data

Mustafa Sencer Aydın, Igor Kukavica, Fanhui Xu

We consider the stochastic Navier-Stokes equations with multiplicative noise with critical initial data. Assuming that the initial data belongs to the critical space …

math.PR2025

Almost global existence for the stochastic Navier-Stokes equations with small data

Mustafa Sencer Aydın, Igor Kukavica, Fanhui Xu

We address the global existence of solutions to the stochastic Navier-Stokes equations with multiplicative noise and with initial data in . We prove that t…

math.PR2024

Global existence of the stochastic Navier-Stokes equations in with small data

Igor Kukavica, Fanhui Xu

We address the global-in-time existence and pathwise uniqueness of solutions for the stochastic incompressible Navier-Stokes equations with a multiplicative noise on the three-dime…