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