108 citations · 365 across the 21 of their papers we have counts for
24 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 i…
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 th…
A microscopic derivation of Gibbs measures for the 1D focusing quintic nonlinear Schrödinger equation
Andrew Rout, Vedran Sohinger
In this work, we obtain a microscopic derivation of Gibbs measures for the focusing quintic nonlinear Schrödinger equation (NLS) on from many-body quantum Gibbs states…
Almost sure existence of global solutions for general initial value problems
Zied Ammari, Shahnaz Farhat, Vedran Sohinger
This article is concerned with the almost sure existence of global solutions for initial value problems of the form on separable dual Banach spaces. We prove…
A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation
Andrew Rout, Vedran Sohinger
In this paper, we give a microscopic derivation of Gibbs measures for the focusing cubic nonlinear Schrödinger equation on the one-dimensional torus from many-body quantum Gibbs st…