4 citations · 6 across the 8 of their papers we have counts for
7 papers · 2 filters
On an asymptotic model for free boundary Darcy flow in porous media
Rafael Granero-Belinchón, Stefano Scrobogna
We provide a rigorous mathematical study of an asymptotic model describing Darcy flow with free boundary in a low amplitude/large wavelength approximation. In particular, we prove…
Asymptotic models for free boundary flow in porous media
Rafael Granero-Belinchón, Stefano Scrobogna
We provide rigorous asymptotic models for the free boundary Darcy and Forchheimer problem under the assumption of weak nonlinear interaction, in a regime in which the steepness par…
A global well-posedness result for the Rosensweig system of ferrofluids
Francesco De Anna, Stefano Scrobogna
In this Paper we study a Bloch-Torrey regularization of the Rosensweig system for ferrofluids. The scope of this paper is twofold. First of all, we investigate the existence and un…
On the influence of gravity on density-dependent incompressible periodic fluids
Van-Sang Ngo, Stefano Scrobogna
The present work is devoted to the analysis of density-dependent, incompressible fluids in a 3D torus, when the Froude number goes to zero. We consider the very gener…
Zero limit of entropic relaxation time for the Shliomis model of ferrofluids
Stefano Scrobogna
We construct solutions for the Shilomis model of ferrofluids in a critical space, uniformly in the entropic relaxation time . This allows us to study the…
Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations
Stefano Scrobogna
We prove that there exist infinitely many distributional solutions with infinite kinetic energy to the incompressible Navier-Stokes equations in . We prove as well…