2 citations · 2 across the 8 of their papers we have counts for
9 papers
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…
A BKM-type criterion for the Euler equations
Mustafa Sencer Aydın
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 norm…
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 …
Inviscid limit on -based Sobolev conormal spaces for the 3D Navier-Stokes equations with the Navier boundary conditions
Mustafa Sencer Aydın
We establish uniform bounds and the inviscid limit in -based Sobolev conormal spaces for the solutions of the Navier-Stokes equations with the Navier boundary conditions in th…
A free boundary inviscid model of flow-structure interaction
Mustafa Sencer Aydın, 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…
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…
Euler Equations in Sobolev conormal spaces
Mustafa Sencer Aydın, Igor Kukavica
We consider the three-dimensional incompressible Euler equations in Sobolev conormal spaces and establish local-in-time existence and uniqueness in the half-space or channel. The i…
Uniform bounds and the inviscid limit for the Navier-Stokes equations with Navier boundary conditions
Mustafa Sencer Aydın, Igor Kukavica
We consider the vanishing viscosity problem for solutions of the Navier-Stokes equations with Navier boundary conditions in the half-space. We lower the currently known conormal re…
Fractional regularity, global persistence, and asymptotic properties of the Boussinesq equations on bounded domains
Mustafa Sencer Aydın, Pranava Chaitanya Jayanti
We address the long-time behavior of the 2D Boussinesq system, which consists of the incompressible Navier-Stokes equations driven by a non-diffusive density. We construct globally…