Global Weak Solutions of the Navier-Stokes / Fokker-Planck / Poisson Linked Equations

DOI10.15407/MAG10.03.267zbMath1300.35065OpenAlexW2473270203MaRDI QIDQ2878009

O. A. Anoshchenko, S. Iegorov, Evgenii Khruslov

Publication date: 28 August 2014

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/mag10.03.267

zbMATH Keywords

Fokker-Planck equationNavier-Stokes equationPoisson equationglobal weak solutionmodified Galerkin methodcompactness of approximationsfixed point Schauder theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Fixed-point theorems (47H10) Navier-Stokes equations (35Q30) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Fokker-Planck equations (35Q84)

Related Items (5)

Global-in-time dynamics of the two-phase fluid model in a bounded domain ⋮ On the dynamics of charged particles in an incompressible flow: From kinetic-fluid to fluid–fluid models ⋮ Global weak solutions to the Vlasov–Poisson–Fokker–Planck–Navier–Stokes system ⋮ On the large-time behavior of Euler-Poisson/Navier-Stokes equations ⋮ Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain

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