1 citations · 1 across the 6 of their papers we have counts for
9 papers
Linear Stability of the Lamb-Chaplygin Dipole
Francesco Pio Numero, Paolo Ventura
We describe the linearized dynamics near the Lamb-Chaplygin dipole, a classical traveling solution of the two-dimensional Euler equations. Exploiting the Hamiltonian structure of t…
Instability of two-dimensional Taylor-Green Vortices
Gonzalo Cao-Labora, Maria Colombo, Michele Dolce +1
For a wide class of linear Hamiltonian operators we develop a general criterion that characterizes the unstable eigenvalues as the zeros of a holomorphic function given by the dete…
Long-wave instability of periodic shear flows for the 2D Navier-Stokes equations
Maria Colombo, Michele Dolce, Riccardo Montalto +1
In 1959, Kolmogorov proposed to study the instability of the shear flow in the vanishing viscosity regime in tori . This question was l…
On higher order isolas of unstable Stokes waves
Massimiliano Berti, Livia Corsi, Alberto Maspero +1
We overview the recent result [3, Theorem 1.1] about the high-frequency instability of Stokes waves subject to longitudinal perturbations. The spectral bands of unstable eigenvalue…
Infinitely many isolas of modulational instability for Stokes waves
Massimiliano Berti, Livia Corsi, Alberto Maspero +1
This paper proves long-standing conjectures regarding the existence of infinitely many high-frequency modulational instability ``isolas" for a Stokes wave in arbitrary depth $ \mat…
First isola of modulational instability of Stokes waves in deep water
Massimiliano Berti, Alberto Maspero, Paolo Ventura
We prove high-frequency modulational instability of small-amplitude Stokes waves in deep water under longitudinal perturbations, providing the first isola of unstable eigenvalues b…