4 papers
Bounds on the growth of high Sobolev norms of solutions to the fractional nonlinear Schrödinger equation on and
Antonios Kapetanios, José L. Rodrigo, Vedran Sohinger
We prove polynomial bounds on the growth of high Sobolev norms of solutions to the defocusing fractional nonlinear Schrödinger equation with cubic and Hartree-type nonlinearities…
Interacting loop ensembles and Bose gases
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We study interacting Bose gases in thermal equilibrium on a lattice. We establish convergence of the grand canonical Gibbs states of such gases to their mean-field (classical field…
The large-mass limit of interacting quantum gases in the continuum
Spyros Garouniatis, Grega Saksida, Vedran Sohinger
We study the large-mass limit of interacting quantum (Bose or Fermi) gases in thermal equilibrium. We show that in the suitably-defined large-mass limit, the system gives rise to a…
Gibbs measures as local equilibrium KMS states for focusing nonlinear Schrödinger equations
Zied Ammari, Andrew Rout, Vedran Sohinger
In this paper, we are concerned with the study of statistical equilibria for focusing nonlinear Schrödinger and Hartree equations on the d-dimensional torus when d=1,2,3. Due to t…