From the 1 of 4 linked papers with an AI index.
4 papers
Long-wave instability of periodic shear flows with constant magnetic field for the 2D resistive MHD equations
Roberto Feola, Luca Franzoi, Riccardo Montalto +1
The paper analyzes linear long‑wave stability and instability of two‑dimensional viscous, resistive magnetohydrodynamic equations with a periodic shear flow and a constant backgrou…
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…
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 la…
Time Quasi-Periodic Three-dimensional Traveling Gravity Water Waves
Roberto Feola, Riccardo Montalto, Shulamit Terracina
Starting with the pioneering computations of Stokes in 1847, the search of traveling waves in fluid mechanics has always been a fundamental topic, since they can be seen as buildin…