Derivation of slip boundary conditions for the Navier-Stokes system from the Boltzmann equation

DOI10.1007/BF01019777zbMath0666.76103OpenAlexW2007053375MaRDI QIDQ1116806

François Coron

Publication date: 1989

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01019777

zbMATH Keywords

Boltzmann equationboundary conditionNavier-Stokes systemslip conditionslinear half-space problemsRarefied gas flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Internal flows of incompressible fluids subject to stick-slip boundary conditions, Analysis and accurate numerical solutions of the integral equation derived from the linearized BGKW equation for the steady Couette flow, Boundary Control for Optimal Mixing via Navier--Stokes Flows, A rescaling velocity method for dissipative kinetic equations. Applications to granular media, Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions, Simulation of boundary value problems for the Boltzmann equation, Computation of the asymptotic states for linear half space kinetic problems, Continuity of drag and domain stability in the low Mach number limits, Construction of boundary conditions for Navier-Stokes equations from the moment system, Slip boundary conditions for the compressible Navier-Stokes equations, Knudsen layer behaviour and momentum accommodation from surface roughness modelling, On the ``viscous incompressible fluid + rigid body system with Navier conditions, Compressible Navier-Stokes approximation for the Boltzmann equation in bounded domains, A smooth transition model between kinetic and hydrodynamic equations, Accurate solution and approximations of the linearized BGK equation for steady Couette flow, Equatorial wave-current interactions, Applications of the Boltzmann equation within the context of upper atmosphere vehicle aerodynamics, A 3D non-stationary Boussinesq system with Navier-slip boundary conditions, On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions, Rigid bounds on heat transport by a fluid between slippery boundaries, Heat transfer problem for the Boltzmann equation in a channel with diffusive boundary condition, Domain sensitivity in singular limits of compressible viscous fluids, Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a boundary layer problem for the nonlinear Boltzmann equation
• On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
• Kinetic boundary layers, numerical simulations
• Discontinuites de temperatures parietales dans un gaz polyatomique hors d'équilibre
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• A classification of well-posed kinetic layer problems
• The rosseland approximation for the radiative transfer equations
• Knudsen layers from a computational viewpoint
• Velocity Slip Coefficient and the Diffusion Slip Velocity for a Multicomponent Gas Mixture