I. Kukavica

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20242026

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math.PR2025

The stochastic Navier-Stokes equations with general $L^{3}$ data

Mustafa Sencer AydÄ±n, Igor Kukavica, Fanhui Xu

We consider the stochastic Navier-Stokes equations with multiplicative noise with critical initial data. Assuming that the initial data $u_{0}$ belongs to the critical space $L^{3}$ …

math.PR2025

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data

Mustafa Sencer AydÄ±n, 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 $H^{1/2} (T^{3})$ . We prove that t…

math.PR2024

Global existence of the stochastic Navier-Stokes equations in $L^{3}$ 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…

The stochastic Navier-Stokes equations with general L3 data

Almost global existence for the stochastic Navier-Stokes equations with small H1/2 data

Global existence of the stochastic Navier-Stokes equations in L3 with small data

The stochastic Navier-Stokes equations with general $L^{3}$ data

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data

Global existence of the stochastic Navier-Stokes equations in $L^{3}$ with small data