Long-time estimates in the mean-field limit

DOI10.1007/s00205-008-0157-xzbMath1155.76063OpenAlexW2007941418MaRDI QIDQ1000555

Frédéric Rousset, Emanuele Caglioti

Publication date: 9 February 2009

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-008-0157-x

zbMATH Keywords

stabilityVlasov equationtwo-dimensional Euler equationsvortex blob method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (11)

A new perspective on Wasserstein distances for kinetic problems ⋮ Instabilities in the mean field limit ⋮ Stability criterion of spatially inhomogeneous solutions to the Vlasov equation ⋮ On numerical Landau damping for splitting methods applied to the Vlasov-HMF model ⋮ Long time estimates for the Vlasov-Maxwell system in the non-relativistic limit ⋮ Nonlinear stability criteria for the HMF model ⋮ Landau damping in Sobolev spaces for the Vlasov-HMF model ⋮ On linear damping around inhomogeneous stationary states of the Vlasov-HMF model ⋮ Nonlinear instability of inhomogeneous steady states solutions to the HMF model ⋮ From Newton’s second law to Euler’s equations of perfect fluids ⋮ A review of the mean field limits for Vlasov equations

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