44 citations · 170 across the 35 of their papers we have counts for
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Sobolev norms explosion for the cubic NLS on irrational tori
Filippo Giuliani, Marcel Guardia
We consider the cubic nonlinear Schrödinger equation on -dimensional irrational tori. We construct solutions which undergo growth of Sobolev norms. More concretely, for every $s…
Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation
Inmaculada Baldomá, Mar Giralt, Marcel Guardia
The Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies, called the primaries. If the primaries perform…
Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula
Inmaculada Baldomá, Mar Giralt, Marcel Guardia
The Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies called the primaries. If one assumes that the p…
On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting
Otávio M. L. Gomide, Marcel Guardia, Tere M. Seara +1
Breathers are nontrivial time-periodic and spatially localized solutions of nonlinear dispersive partial differential equations (PDEs). Families of breathers have been found for ce…
Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem
Maciej J. Capiński, Marcel Guardia, Pau Martín +2
Consider the Restricted Planar Circular 3 Body Problem with both realistic mass ratio and Jacobi constant for the Sun-Jupiter pair. We prove the existence of all possible combinati…