47 citations · 265 across the 22 of their papers we have counts for
4 papers · 2 filters
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 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…
Singularity formation for the Serre-Green-Naghdi equations and applications to abcd-Boussinesq systems
Hantaek Bae, Rafael Granero-Belinchón
In this work we prove that the solution of the Serre-Green-Naghdi equation cannot be globally defined when the interface reaches the impervious bottom tangentially. As a consequenc…