Publications (21)
Dynamics of solutions to the Gross-Pitaevskii equation describing dipolar Bose-Einstein condensates
Jacopo Bellazzini, Luigi Forcella
We review some recent results on the long time dynamics of solutions to the Gross-Pitaevskii equation governing non-trapped dipolar Quantum Gases. We describe the asymptotic behavi…
Double Scattering Channels for NLS in the Energy Space and its Generalization to Higher Dimensions
Luigi Forcella, Nicola Visciglia
We consider a class of NLS perturbed with a steplike potential. We prove that the nonlinear solutions satisfy the double scattering channels in the energy space. The proof is…
NLS with mass-subcritical combined nonlinearities: small mass -scattering
Jacopo Bellazzini, Luigi Forcella, Vladimir Georgiev
We prove small data scattering in the mass-subcritical regime for the NLS equation with double nonlinearities, where a focusing leading term is perturbed by a lower order defocusin…
Asymptotic dynamic for dipolar Quantum Gases below the ground state energy threshold
Jacopo Bellazzini, Luigi Forcella
We consider the Gross-Pitaevskii equation describing a dipolar Bose-Einstein condensate without external confinement. We first consider the unstable regime, where the nonlocal nonl…
Solitons, scattering and blow-up for the nonlinear Schrödinger equation with combined power-type nonlinearities on
Luigi Forcella, Yongming Luo, Zehua Zhao
We investigate the long time dynamics of the nonlinear Schrödinger equation (NLS) with combined powers on the waveguide manifold . Different from the…
Large data scattering for the defocusing NLKG on waveguide
Luigi Forcella, Lysianne Hari
We consider the pure-power defocusing nonlinear Klein-Gordon equation, in the energy subcritical case, posed on the product space , where i…