Gabriela Planas

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We consider the Navier-Stokes equations with Navier friction boundary conditions and prove two results. First, in the case of a bounded domain we prove that weak Leray solutions converge (locally in time in dimension ≥ 3 and globally in time in dimension 2) as the viscosity goes to 0 to a strong solution of the Euler equations provided that the initial data(More)
In [1], T. Clopeau, A. Mikelić, and R. Robert studied the inviscid limit of the 2D incompressible Navier-Stokes equations in a bounded domain subject to Navier friction-type boundary conditions. They proved that the inviscid limit satisfies the incompressible Euler equations and their result ultimately includes flows generated by bounded initial(More)
In this paper we treat three problems on a two-dimensional ‘punctured periodic domain’: we take Ωr = (−L,L) \Dr, where Dr = B(0, r) is the disc of radius r centred at the origin. We impose periodic boundary conditions on the boundary of the box Ω = (−L,L), and Dirichlet boundary conditions on the circumference of the disc. In this setting we consider the(More)
In this talk we address the issue of existence of weak solutions for the non-homogeneous Navier-Stokes system with Navier friction boundary conditions allowing the presence of vacuum zones and assuming rough conditions on the data. We also study the convergence, as the viscosity goes to zero, of weak solutions for the non-homogeneous Navier-Stokes system(More)
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