8 citations · 38 across the 16 of their papers we have counts for
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The Mean-Field Limit of the Lieb-Liniger Model
Matthew Rosenzweig
We consider the well-known Lieb-Liniger (LL) model for bosons interacting pairwise on the line via the -potential in the mean-field scaling regime. Assuming suitable asympto…
Poisson Commuting Energies for a System of Infinitely Many Bosons
Dana Mendelson, Andrea R. Nahmod, Nataša Pavlović +2
We consider the cubic Gross-Pitaevskii (GP) hierarchy in one spatial dimension. We establish the existence of an infinite sequence of observables such that the corresponding trace…
A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schrödinger Equation
Dana Mendelson, Andrea R. Nahmod, Nataša Pavlović +2
We consider the cubic nonlinear Schrödinger equation (NLS) in any spatial dimension, which is a well-known example of an infinite-dimensional Hamiltonian system. Inspired by the kn…
Justification of the Point Vortex Approximation for Modified Surface Quasi-Geostrophic Equations
Matthew Rosenzweig
In this paper, we give a rigorous justification of the point vortex approximation to the family of modified surface quasi-geostrophic (mSQG) equations globally in time in both the…