4 papers
Local and global well-posedness in the -setting for the Q-tensor model in and
Daniele Barbera, Vladimir Georgiev, Miho Murata +1
The paper studies the Q-tensor model for nematic liquid crystals, a system that couples a Navier-Stokes equation with an evolution equation for the order parameter tensor Q. The fi…
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…
On completeness of modified wave operators for defocusing NLS
Vladimir Georgiev, Tohru Ozawa
In this manuscript, we study modified scattering for the nonlinear defocusing Schrödinger equation with a critical gauge-invariant nonlinearity of order 1+2/n. We address the foll…
Local well-posedness and blow-up in the energy space for the 2D NLS with point interaction
Luigi Forcella, Vladimir Georgiev
We consider the two-dimensional nonlinear Schrödinger equation with point interaction and we establish a local well-posedness theory, including blow-up alternative and continuous…