Mustafa Sencer Aydın

most citedFractional regularity, global persistence, and asymptotic properties of the Boussinesq equations on bounded domains

2 citations · 2 across the 8 of their papers we have counts for

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math.PR2025

The Navier-Stokes equations with transport noise in critical $H^{1/2}$ 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 $H^{1/2}$ almost surely, we establish the existence and…

math.PR2025

The stochastic Navier-Stokes equations with general $L^{3}$ 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 $u_{0}$ 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 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 $H^{1/2} (T^{3})$ . We prove that t…

The Navier-Stokes equations with transport noise in critical H1/2 space

The stochastic Navier-Stokes equations with general L3 data

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

The Navier-Stokes equations with transport noise in critical $H^{1/2}$ space

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