Sobolev norms explosion for the cubic NLS on irrational tori
F Giuliani, M Guardia - Nonlinear Analysis, 2022 - Elsevier
We consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We
construct solutions which undergo growth of Sobolev norms. More concretely, for every s> 0 …
construct solutions which undergo growth of Sobolev norms. More concretely, for every s> 0 …
Chaotic-like transfers of energy in Hamiltonian PDEs
We consider the nonlinear cubic Wave, the Hartree and the nonlinear cubic Beam equations
on T^ 2 T 2 and we prove the existence of different types of solutions which exchange …
on T^ 2 T 2 and we prove the existence of different types of solutions which exchange …