The Vlasov-Navier-Stokes equations as a mean field limit

DOI10.3934/dcdsb.2018313zbMath1429.35054arXiv1804.06420OpenAlexW2963491747WikidataQ128961218 ScholiaQ128961218MaRDI QIDQ2321082

Marta Leocata, Cristiano Ricci, Franco Flandoli

Publication date: 28 August 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.06420

zbMATH Keywords

kinetic theoryscaling limitsmean-fieldparticle-systemVlasov-Navier-Stokes equations

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Suspensions (76T20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel ⋮ Uniform Approximation of 2 Dimensional Navier--Stokes Equation by Stochastic Interacting Particle Systems ⋮ The Navier-Stokes-Vlasov-Fokker-Planck system as a scaling limit of particles in a fluid

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