Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system with nonhomogeneous boundary data

DOI10.1007/s00033-021-01488-9zbMath1464.35245OpenAlexW3130037991MaRDI QIDQ2026470

Yue Li

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01488-9

zbMATH Keywords

weak solutionscompressible Navier-Stokes equationsnonhomogeneous boundary conditionsVlasov-Fokker-Planck equation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with fluid mechanics (35Q35) 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 (4)

Global weak solutions to a quantum kinetic-fluid model with large initial data ⋮ Global weak solutions to a three-dimensional quantum kinetic-fluid model ⋮ Global weak solutions to the Vlasov–Poisson–Fokker–Planck–Navier–Stokes system ⋮ Global weak solutions for a kinetic-fluid model with local alignment force in a bounded domain

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