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math.AP2021★ 9 cited
Long-time stability of the quantum hydrodynamic system on irrational tori
Roberto Feola, Felice Iandoli, Federico Murgante
We consider the quantum hydrodynamic system on a -dimensional irrational torus with . We discuss the behaviour, over a "non trivial" time interval, of the -Sobolev n…
math.AP2021
Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori
Roberto Feola, Riccardo Montalto
We consider a family of Schrödinger equations with unbounded Hamiltonian quadratic nonlinearities on a generic tori of dimension . We study the behaviour of high Sobolev no…