4 citations · 6 across the 6 of their papers we have counts for
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Well-posedness theory for non-homogeneous incompressible fluids with odd viscosity
Francesco Fanelli, Rafael Granero-Belinchón, Stefano Scrobogna
Several fluid systems are characterised by time reversal and parity breaking. Examples of such phenomena arise both in quantum and classical hydrodynamics. In these situations, the…
Global well-posedness and decay for viscous water wave models
Rafael Granero-Belinchón, Stefano Scrobogna
The motion of the free surface of an incompressible fluid is a very active research area. Most of these works examine the case of an inviscid fluid. However, in several practical a…
Global existence in the Lipschitz class for the N-Peskin problem
Francisco Gancedo, Rafael Granero-Belinchón, Stefano Scrobogna
In this paper we study a toy model of the Peskin problem that captures the motion of the full Peskin problem in the normal direction and discards the tangential elastic stretching…
Well-posedness of an asymptotic model for free boundary Darcy flow in porous media in the critical Sobolev space
Stefano Scrobogna
We prove that the quadratic approximation of the capillarity-driven free-boundary Darcy flow is well posed in , and globally well-posed if the initial datum is sma…
Well-posedness of the water-wave with viscosity problem
Rafael Granero-Belinchón, Stefano Scrobogna
In this paper we study the motion of a surface gravity wave with viscosity. In particular we prove two well-posedness results. On the one hand, we establish the local solvability i…
Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium
Francisco Gancedo, Rafael Granero-Belinchon, Stefano Scrobogna
This paper studies the dynamics of an incompressible fluid driven by gravity and capillarity forces in a porous medium. The main interest is the stabilization of the fluid in Rayle…