8 citations · 38 across the 16 of their papers we have counts for
11 papers · 1 filter
Trend to equilibrium for flows with random diffusion
Shrey Aryan, Matthew Rosenzweig, Gigliola Staffilani
Motivated by the possibility of noise to cure equations of finite-time blowup, recent work arXiv:2109.09892 by the second and third named authors showed that with quantifiable high…
Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows
Antonin Chodron de Courcel, Matthew Rosenzweig, Sylvia Serfaty
We consider conservative and gradient flows for -particle Riesz energies with mean-field scaling on the torus , for , and with thermal noise of McKean-Vla…
A rigorous derivation of the Hamiltonian structure for the Vlasov equation
Joseph K. Miller, Andrea R. Nahmod, Nataša Pavlović +2
We consider the Vlasov equation in any spatial dimension, which has long been known to be an infinite-dimensional Hamiltonian system whose bracket structure is of Lie-Poisson type.…
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…
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…
Global Well-Posedness and Scattering for the Elliptic-Elliptic Davey-Stewartson System at -Critical Regularity
Matthew Rosenzweig
In this paper, we prove global well-posedness and scattering of the Cauchy problem for the elliptic-elliptic Davey-Stewartson system (eeDS) for initial data $u_{0}\in L^{2}(\mathbb…