8 citations · 38 across the 16 of their papers we have counts for
6 papers · 1 filter
From Quantum Many-Body Systems to Ideal Fluids
Matthew Rosenzweig
We give a rigorous, quantitative derivation of the incompressible Euler equation from the many-body problem for bosons on with binary Coulomb interactions in the…
Global solutions of aggregation equations and other flows with random diffusion
Matthew Rosenzweig, Gigliola Staffilani
Aggregation equations, such as the parabolic-elliptic Patlak-Keller-Segel model, are known to have an optimal threshold for global existence vs. finite-time blow-up. In particular,…
Global-in-time mean-field convergence for singular Riesz-type diffusive flows
Matthew Rosenzweig, Sylvia Serfaty
We consider the mean-field limit of systems of particles with singular interactions of the type or , with , and with an additive noise in dimensions…
Mean-field limits of Riesz-type singular flows
Quoc Hung Nguyen, Matthew Rosenzweig, Sylvia Serfaty
We provide a proof of mean-field convergence of first-order dissipative or conservative dynamics of particles with Riesz-type singular interaction (the model interaction is an inve…
On the Rigorous Derivation of the Incompressible Euler Equation from Newton's Second Law
Matthew Rosenzweig
A longstanding problem in mathematical physics is the rigorous derivation of the incompressible Euler equation from Newtonian mechanics. Recently, Han-Kwan and Iacobelli arXiv:2006…
Uniqueness of Solutions to the Spectral Hierarchy in Kinetic Wave Turbulence Theory
Matthew Rosenzweig, Gigliola Staffilani
In arXiv:1201.4067 and arXiv:1611.08030, Eyink and Shi and Chibbaro et al., respectively, formally derived an infinite, coupled hierarchy of equations for the spectral correlation…