6 papers
Incompressible limits at large Mach number for a reduced compressible MHD system
Francesco Fanelli, Young-Sam Kwon, Aneta Wróblewska-Kamińska
This paper studies a singular limit problem for a reduced model for compressible non-resistive MHD which was first introduced in \cite{Li-Sun_JDE, Li-Sun} in a two-dimensional sett…
Anelastic approximation for the degenerate compressible Navier--Stokes equations revisited
Nilasis Chaudhuri, Francesco Fanelli, Yang Li +1
In this paper, we revisit the joint low-Mach and low-Frode number limit for the compressible Navier-Stokes equations with degenerate, density-dependent viscosity. Employing the rel…
Yudovich theory under geometric regularity for density-dependent incompressible fluids
Francesco Fanelli
This paper focuses on the study of the density-dependent incompressible Euler equations in space dimension , for low regularity (\textsl{i.e.} non-Lipschitz) initial data sati…
Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D
Francesco Fanelli
This paper concerns the study of the incompressible Euler equations with variable density, in the case of space dimension . Contrarily to their homogeneous (constant density)…
Ekman boundary layers in a domain with topography
Jean-Yves Chemin, Francesco Fanelli, Isabelle Gallagher
We investigate the asymptotic behaviour of fast rotating incompressible fluids with vanishing viscosity, in a {three dimensional} domain with topography including the case of land…
Global existence for non-homogeneous incompressible inviscid fluids in presence of Ekman pumping
Marco Bravin, Francesco Fanelli
In this paper, we study the global solvability of the density-dependent incompressible Euler equations, supplemented with a damping term of the form $ \mathfrak{D}_α^γ(ρ, u) = αρ^γ…