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math.AP2026
Long-wave instability of periodic shear flows with constant magnetic field for the 2D resistive MHD equations
Roberto Feola, Luca Franzoi, Riccardo Montalto +1
We investigate the long-wave linear stability and instability of the two-dimensional viscous, resistive Magnetohydrodynamic (MHD) equations, in vorticity-current formulation, on th…
math.AP2026
Quasi-resonant normal form and quadratic lifespan for 3D gravity-capillary water waves
Roberto Feola, Riccardo Montalto, Federico Murgante
We study the long-time dynamics of small-amplitude solutions to the three-dimensional gravity-capillary water waves equations for an inviscid and irrotational fluid with periodic b…
math.AP2026
Long time dynamics close to large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids
Roberto Feola, Luca Franzoi, Riccardo Montalto
In this paper we consider the -plane equation with a smooth external force which is a quasi-periodic traveling wave of large amplitude , , and with large…