Vladimir Georgiev

collaborators

3 papers

math.AP2026

Local and global well-posedness in the $L^{2}$ -setting for the Q-tensor model in $R^{N}$ and $R_{+}^{N}$

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…

math.AP2025

NLS with mass-subcritical combined nonlinearities: small mass $L^{2}$ -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…

math.AP2025

On completeness of modified wave operators for defocusing NLS

Vladimir Georgiev, Tohru Ozawa

In this manuscript, we study modified scattering for the nonlinear defocusing SchrÃ¶dinger equation with a critical gauge-invariant nonlinearity of order 1+2/n. We address the foll…

Local and global well-posedness in the L2-setting for the Q-tensor model in RN and R+N​

NLS with mass-subcritical combined nonlinearities: small mass L2-scattering

On completeness of modified wave operators for defocusing NLS

Local and global well-posedness in the $L^{2}$ -setting for the Q-tensor model in $R^{N}$ and $R_{+}^{N}$

NLS with mass-subcritical combined nonlinearities: small mass $L^{2}$ -scattering