Global weak solutions for a kinetic-fluid model with local alignment force in a bounded domain

DOI10.3934/cpaa.2021122zbMath1479.35678OpenAlexW3178837384MaRDI QIDQ2054176

Yue Li, Fu-Cai Li

Publication date: 1 December 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021122

zbMATH Keywords

weak solutionscompressible Navier-Stokes equationsVlasov-Fokker-Planck equationnon-homogeneous boundary conditionslocal alignment force

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)

Related Items

Asymptotic analysis for 1D compressible Navier–Stokes–Vlasov equations with local alignment force, Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain, Global weak solutions to a three-dimensional quantum kinetic-fluid model, Global weak solutions to the Vlasov–Poisson–Fokker–Planck–Navier–Stokes system

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