3 papers
math.AP2026
Equivariant critical point theory and bifurcation of gravity-capillary Stokes waves
Tommaso Barbieri, Massimiliano Berti, Marco Mazzucchelli
We establish novel existence results of gravity-capillary periodic traveling waves. In particular we prove the bifurcation of multiple, geometrically distinct truly Stoke…
math.DG2026
Length spectrum rigidity and flexibility of spheres of revolution with one equator
Alberto Abbondandolo, Marco Mazzucchelli
We define a notion of marked length spectrum for -symmetric Riemannian metrics on the two-sphere having only one equator. We prove that isospectral metrics in this class have…
math.AP2025
Bifurcation of gravity-capillary Stokes waves with constant vorticity
T. Barbieri, M. Berti, A. Maspero +1
We consider the gravity-capillary water waves equations of a 2D fluid with constant vorticity. By employing variational methods we prove the bifurcation of periodic traveling water…