The hydrodynamic limit for the inhomogeneous Vlasov–Navier–Stokes system

DOI10.1142/s0129167x23500313zbMath1515.35182OpenAlexW4323360688MaRDI QIDQ6159126

Najoua El Ghani, Hassen Mejri

Publication date: 1 June 2023

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x23500313

zbMATH Keywords

hydrodynamic limitrelative entropy methodfluid-particles interactioninhomogeneous incompressible Vlasov-Navier-Stokes equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Multiphase and multicomponent flows (76T99) Navier-Stokes equations (35Q30) Vlasov equations (35Q83)

Cites Work

• Unnamed Item
• Global weak solutions to the incompressible Navier-Stokes-Vlasov equations
• Global existence of solutions for the coupled Vlasov and Navier-Stokes equations.
• Global existence of weak and classical solutions for the Navier-Stokes-Vlasov-Fokker-Planck equations
• Global existence of solutions to the incompressible Navier-Stokes-Vlasov equations in a time-dependent domain
• The mathematical theory of dilute gases
• Hydrodynamic limit for the inhomogeneous incompressible Navier-Stokes/Vlasov-Fokker-Planck equations
• Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system
• Global existence and large time behaviour of solutions for the Vlasov-Stokes equations
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• Global weak solution to the inhomogeneous Navier-Stokes-Vlasov equations
• Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations
• The Navier–Stokes–Vlasov–Fokker–Planck System near Equilibrium
• Global well-posedness and large-time behavior for the inhomogeneous Vlasov–Navier–Stokes equations
• Spray Combustion and Atomization
• Dynamic Theory of Suspensions with Brownian Effects
• ASYMPTOTIC ANALYSIS FOR A VLASOV–NAVIER–STOKES SYSTEM IN A BOUNDED DOMAIN
• Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression
• Global existence of weak solutions to the incompressible Vlasov–Navier–Stokes system coupled to convection–diffusion equations
• COUPLING EULER AND VLASOV EQUATIONS IN THE CONTEXT OF SPRAYS: THE LOCAL-IN-TIME, CLASSICAL SOLUTIONS
• GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS
• Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.

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