Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain

DOI10.1142/S0218202521500482zbMath1481.35049arXiv1912.13134OpenAlexW3208617682MaRDI QIDQ5024398

Jinwook Jung, Young-Pil Choi

Publication date: 31 January 2022

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13134

zbMATH Keywords

relative entropyhydrodynamic limitkinematic boundary conditiontwo-phase fluid systeminteractions between particles and fluidVlasov/Navier-Stokes system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Fokker-Planck equations (35Q84)

Related Items (13)

Asymptotic analysis for 1D compressible Navier–Stokes–Vlasov equations with local alignment force ⋮ Global-in-time dynamics of the two-phase fluid model in a bounded domain ⋮ Optimal well-posedness for the pressureless Euler–Navier–Stokes system ⋮ Global weak solutions to a quantum kinetic-fluid model with large initial data ⋮ Global Existence and Optimal Time-Decay Rates of the Compressible Navier–Stokes–Euler System ⋮ Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model ⋮ On the dynamics of charged particles in an incompressible flow: From kinetic-fluid to fluid–fluid models ⋮ Hydrodynamic limits of Manton's Schrödinger system ⋮ Global weak solutions to a three-dimensional quantum kinetic-fluid model ⋮ From BGK-alignment model to the pressured Euler-alignment system with singular communication weights ⋮ Temporal decays and asymptotic behaviors for a Vlasov equation with a flocking term coupled to incompressible fluid flow ⋮ On regular solutions and singularity formation for Vlasov/Navier-Stokes equations with degenerate viscosities and vacuum ⋮ The Navier-Stokes-Vlasov-Fokker-Planck system in bounded domains

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