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math.AP2023
Construction of the free-boundary 3D incompressible Euler flow under limited regularity
Mustafa Sencer Aydin, Igor Kukavica, Wojciech S. Ożański +1
We consider the three-dimensional Euler equations in a domain with a free boundary with no surface tension. We construct unique local-in-time solutions in the Lagrangian setting fo…
math.AP2023★ 1 cited
On Asymptotic Properties of the Boussinesq Equations
Mustafa Sencer Aydın, Igor Kukavica, Mohammed Ziane
We address the long time behavior of the Boussinesq system coupling the Navier-Stokes equations driven by density with the non-diffusive equation for the density. We construct solu…