Mustafa Sencer Aydın

collaborators

8 papers

math.PR2025

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

Mustafa Sencer AydÄ±n, 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.AP2025

A BKM-type criterion for the Euler equations

Mustafa Sencer AydÄ±n

We establish a new BKM-type blow-up criterion for solutions of the incompressible Euler equations that belong to Sobolev or H\" older spaces. Our criterion involves the $L^{2}$ norm…

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.AP2025

Inviscid limit on $L^{p}$ -based Sobolev conormal spaces for the 3D Navier-Stokes equations with the Navier boundary conditions

Mustafa Sencer AydÄ±n

We establish uniform bounds and the inviscid limit in $L^{p}$ -based Sobolev conormal spaces for the solutions of the Navier-Stokes equations with the Navier boundary conditions in th…

math.AP2025

A free boundary inviscid model of flow-structure interaction

Mustafa Sencer AydÄ±n, Igor Kukavica, Amjad Tuffaha

We address the existence and of solutions for the Euler-plate free-boundary system modeling an interaction of a three-dimensional inviscid fluid and an evolving plate. We prove the…

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…

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

A BKM-type criterion for the Euler equations

The stochastic Navier-Stokes equations with general L3 data

Inviscid limit on Lp-based Sobolev conormal spaces for the 3D Navier-Stokes equations with the Navier boundary conditions

A free boundary inviscid model of flow-structure interaction

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

Inviscid limit on $L^{p}$ -based Sobolev conormal spaces for the 3D Navier-Stokes equations with the Navier boundary conditions

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