44 citations · 170 across the 35 of their papers we have counts for
3 papers · 1 filter
Critical velocity in kink-defect interaction models: rigorous results
Otávio M. L. Gomide, Marcel Guardia, Tere M. Seara
In this work we study a model of interaction of kinks of the sine-Gordon equation with a weak defect. We obtain rigorous results concerning the so-called critical velocity derived…
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation
Marcel Guardia, Zaher Hani, Emanuele Haus +2
We consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori ca…
Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem
Marcel Guardia Vadim Kaloshin, Jianlu Zhang
For the Restricted Circular Planar 3 Body Problem, we show that there exists an open set in phase space independent of fixed measure, where the set of initial points w…