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5 papers

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

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…

math.AP2026

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…

math.AP2026

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…

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 la…

math.AP2024

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…