Stationary solutions of the linearized Boltzmann equation in a half‐space
From MaRDI portal
Publication:4728708
DOI10.1002/mma.1670110406zbMath0679.35021OpenAlexW1970117341MaRDI QIDQ4728708
François Golse, Frederic Poupaud
Publication date: 1989
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1670110406
asymptotic analysisboundary layersenergy methodshalf space problemkinetic theory of gaseslinearized Boltzmann equation
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Boundary value problems for linear first-order PDEs (35F15) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items (51)
Hydrodynamic limit with geometric correction of stationary Boltzmann equation ⋮ Space-time behavior of the solution to the Boltzmann equation with soft potentials ⋮ Nonlinear stability of boundary layers of the Boltzmann equation for cutoff hard potentials ⋮ Existence of Solutions to the Stationary Linear Boltzmann Equation ⋮ DIFFUSION OF ELECTRONS BY MULTICHARGED IONS ⋮ Singularity of Macroscopic Variables Near Boundary for Gases with Cutoff Hard Potential ⋮ Vapor flows along a plane condensed phase with weak condensation in the presence of a noncondensable gas ⋮ On a Taylor-Couette type bifurcation for the stationary nonlinear Boltzmann equation ⋮ Half-space problems for the Boltzmann equation: a survey ⋮ The boundary structure of zero-temperature driven hard spheres ⋮ Boundary singularity of moments for the linearized Boltzmann equation ⋮ Invariant manifolds for steady Boltzmann flows and applications ⋮ A revisit of the velocity averaging lemma: on the regularity of stationary Boltzmann equation in a bounded convex domain ⋮ The nonlinear boundary layer to the Boltzmann equation with mixed boundary conditions for hard potentials ⋮ Boundary Layers and Incompressible Navier-Stokes-Fourier Limit of the Boltzmann Equation in Bounded Domain I ⋮ Asymptotic behavior on the Milne problem with a force term ⋮ Spatial behavior of the solution to the linearized Boltzmann equation with hard potentials ⋮ Slip boundary conditions for the compressible Navier-Stokes equations ⋮ Regularity of Stationary Solutions to the Linearized Boltzmann Equations ⋮ Existence of boundary layers to the Boltzmann equation with cutoff soft potentials ⋮ Nonlinear stability of boundary layers for the Boltzmann equation with cutoff soft potentials ⋮ The nonlinear boundary layer to the Boltzmann equation for cutoff soft potential with physical boundary condition ⋮ Numerical analysis of thermal-slip and diffusion-slip flows of a binary mixture of hard-sphere molecular gases ⋮ Ghost effect of infinitesimal curvature in the plane Couette flow of a gas in the continuum limit ⋮ Numerical analysis of the shear flow of a binary mixture of hard-sphere gases over a plane wall ⋮ Kinetic theory analysis of the two-surface problem of a vapor–vapor mixture in the continuum limit ⋮ Evaporation and condensation of a binary mixture of vapors on a plane condensed phase: Numerical analysis of the linearized Boltzmann equation ⋮ Notes on the boundary conditions for fluid-dynamic equations on the interface of a gas and its condensed phase ⋮ Milne problem for the linear and linearized Boltzmann equations relevant to a binary gas mixture ⋮ Boundary layers and incompressible Navier-Stokes-Fourier limit of the Boltzmann equation in a bounded domain ⋮ EXISTENCE OF BOUNDARY LAYER SOLUTIONS TO THE BOLTZMANN EQUATION ⋮ The solutions for the boundary layer problem of Boltzmann equation in a half-space ⋮ Nonlinear stability of boundary layer solution to the Boltzmann equation with diffusive effect at the boundary ⋮ Temperature and pressure criteria for half-space discrete velocity models ⋮ The stationary nonlinear Boltzmann equation in a Couette setting with multiple, isolated \(L^q\)-solutions and hydrodynamic limits ⋮ THE GHOST EFFECT IN THE CONTINUUM LIMIT FOR A VAPOR–GAS MIXTURE AROUND CONDENSED PHASES: ASYMPTOTIC ANALYSIS OF THE BOLTZMANN EQUATION ⋮ EXISTENCE AND EXPONENTIAL DECAY OF GLOBAL SOLUTIONS TO THE BOLTZMANN EQUATION NEAR MAXWELLIANS ⋮ Stationary Boltzmann's Equation With a Source Term ⋮ Quantitative pointwise estimate of the solution of the linearized Boltzmann equation ⋮ The Classification of Well-Posed Kinetic Boundary Layer for Hard Sphere Gas Mixtures ⋮ Kinetic theoretical studies of the half-space problem of evaporation and condensation ⋮ Kinetic theoretical studies of the half-space problem of evaporation and condensation ⋮ Pointwise convergence to Knudsen layers of the Boltzmann equation ⋮ Existence of nonlinear boundary layer solution to the Boltzmann equation with physical boundary conditions ⋮ Compactness of Linearized Kinetic Operators ⋮ Symmetry of the linearized Boltzmann equation and its application ⋮ Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators ⋮ Boundary layers of the Boltzmann equation in three-dimensional half-space ⋮ Analytical study of transonic flows of a gas condensing onto its plane condensed phase on the basis of kinetic theory ⋮ Moment closure hierarchies for kinetic theories. ⋮ Half-space problems for a linearized discrete quantum kinetic equation
This page was built for publication: Stationary solutions of the linearized Boltzmann equation in a half‐space
