24 citations · 36 across the 16 of their papers we have counts for
23 papers
Quantitative aspects on the ill-posedness of the Prandtl and hyperbolic Prandtl equations
Francesco De Anna, Joshua Kortum, Stefano Scrobogna
We address a physically-meaningful extension of the Prandtl system, also known as hyperbolic Prandtl equations. We show that the linearised model around a non-monotonic shear flow…
Gevrey-class-3 regularity of the linearised hyperbolic Prandtl system on a strip
Francesco De Anna, Joshua Kortum, Stefano Scrobogna
In the present paper, we address a physically-meaningful extension of the linearised Prandtl equations around a shear flow. Without any structural assumption, it is well-known that…
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…
Small energy stabilization for 1D Nonlinear Klein Gordon Equations
Scipio Cuccagna, Masaya Maeda, Stefano Scrobogna
We give a partial extension to dimension 1 of the result proved by Bambusi and Cuccagna on the absence of small energy real valued periodic solutions for the NLKG in dimension 3. W…
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…