7 papers
Hyperbolic nonlinear Schrödinger equations on
Engin BaÅakoÄlu, Chenmin Sun, Nikolay Tzvetkov +1
In this paper, we consider the hyperbolic nonlinear Schrödinger equations (HNLS) on . We obtain the sharp local well-posedness up to the critical regul…
Large torus limit of global dynamics of the two-dimensional dispersive Anderson model
Ruoyuan Liu, Nikolay Tzvetkov
We continue the study of the two-dimensional dispersive Anderson model (DAM), i.e. the nonlinear Schrödinger equation with multiplicative spatial white noise. For this model, glob…
Almost sure global nonlinear smoothing for the 2D NLS
Chenmin Sun, Nikolay Tzvetkov
In this article, we prove an almost-sure global in time nonlinear smoothing effect for NLS on the two-dimensional torus. For deterministic data, this phenomenon was proved for the…
New bounds on the high Sobolev norms of the 1d NLS solutions
Diego Berti, Fabrice Planchon, Nikolay Tzvetkov +1
We introduce modified energies that are suitable to get upper bounds on the high Sobolev norms for solutions to the D periodic NLS. Our strategy is rather flexible and allows us…
Existence, uniqueness, and universality of global dynamics for the fractional hyperbolic -model
Ruoyuan Liu, Nikolay Tzvetkov, Yuzhao Wang
We study the fractional -measure (with order ) and the dynamical problem of its canonical stochastic quantization: the three-dimensional stochastic damped fractional…
Local well-posedness for the periodic Boltzmann equation with constant collision kernel
Engin BaÅakoÄlu, Nikolay Tzvetkov, Chenmin Sun +1
We study the Boltzmann equation with the constant collision kernel in the case of spatially periodic domain , . Using the existing techniques from nonlinear…