7 citations · 7 across the 6 of their papers we have counts for
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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…
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…
Mean-Field Convergence of Systems of Particles with Coulomb Interactions in Higher Dimensions without Regularity
Matthew Rosenzweig
We consider first-order conservative systems of particles with binary Coulomb interactions in the mean-field scaling regime in dimensions . We show that if at some time, t…
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…