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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…
Time-periodic vortices near translating symmetric dipole patches
Luca Franzoi, Taoufik Hmidi, Riccardo Montalto
We prove the existence of time-periodic solutions of the two-dimensional incompressible Euler equations bifurcating from a translating vortex pair. The reference configuration cons…
Quasi-periodic traveling electron layers
Luca Franzoi, Emeric Roulley
We consider the one dimensional space-periodic Vlasov-Poisson equations and construct, close to symmetric flat velocity strips, small amplitude traveling quasi-periodic electron-la…
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…
Large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids
Roberta Bianchini, Luca Franzoi, Riccardo Montalto +1
We establish the existence of quasi-periodic traveling wave solutions for the -plane equation on with a large quasi-periodic traveling wave external force. These…
Time almost-periodic solutions of the incompressible Euler equations
Luca Franzoi, Riccardo Montalto
We construct time almost-periodic solutions (global in time) with finite regularity to the incompressible Euler equations on the torus $\T^d$, with and even.