DOI10.14492/hokmj/1470081009zbMath0525.76062OpenAlexW2490638712MaRDI QIDQ593930
Kiyoshi Asano, Seiji Ukai
Publication date: 1983
Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.14492/hokmj/1470081009
Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data,
ON THE ASYMPTOTIC ANALYSIS OF THE BGK MODEL TOWARD THE INCOMPRESSIBLE LINEAR NAVIER–STOKES EQUATION,
FROM MICROSCOPIC TO MACROSCOPIC DESCRIPTION FOR GENERALIZED KINETIC MODELS,
The Problem with Hilbert’s 6th Problem,
Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff,
From discrete velocity Boltzmann equations to gas dynamics before shocks,
ON THE ASYMPTOTIC ANALYSIS OF KINETIC MODELS TOWARDS THE COMPRESSIBLE EULER AND ACOUSTIC EQUATIONS,
Stationary solutions to the Boltzmann equation in the hydrodynamic limit,
Stability of the Rarefaction Wave of the Vlasov--Poisson--Boltzmann System,
Incompressible hydrodynamic approximation with viscous heating to the Boltzmann equation,
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system,
Spectrum structure and decay rate estimates on the Landau equation with Coulomb potential,
On the initial layer and the existence theorem for the nonlinear Boltzmann equation,
The Euler Limit of the Relativistic Boltzmann Equation,
Passage from the Boltzmann equation with diffuse boundary to the incompressible Euler equation with heat convection,
On the Strong Solution of the Ghost Effect System,
From microscopic to macroscopic models: Asymptotic analysis of the Broadwell model toward the wave equation,
Viscous shock profile and singular limit for hyperbolic systems with Cattaneo's law,
On the derivation of hydrodynamics from the Boltzmann equation,
FLUID DYNAMIC LIMITS FOR GAS MIXTURE I: FORMAL DERIVATIONS,
Bifurcation of and ghost effect on the temperature field in the Bénard problem of a gas in the continuum limit,
Hilbert’s sixth problem and the failure of the Boltzmann to Euler limit,
On the asymptotic behaviour of solutions of nonlinear kinetic equations,
Navier-Stokes equations for stochastic particle systems on the lattice,
On the hydrodynamic limit of the Enskog equation,
A DIFFUSIVE LIMIT FOR NONLINEAR DISCRETE VELOCITY MODELS,
The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem,
Hilbert expansion of the Boltzmann equation with specular boundary condition in half-space,
Hydrodynamic Limit of the Boltzmann Equation to the Planar Rarefaction Wave in Three Dimensional Space,
Thermal creep flow for the Boltzmann equation,
Boltzmann diffusive limit beyond the Navier‐Stokes approximation,
Connection between the kinetic equations and the equations of hydrodynamics,
Justification of limit for the Boltzmann equation related to Korteweg theory,
Vlasov-Maxwell-Boltzmann diffusive limit,
Stability of Superposition of Two Viscous Shock Waves for the Boltzmann Equation,
Heat transfer problem for the Boltzmann equation in a channel with diffusive boundary condition,
Hydrodynamic limit of the stationary Boltzmann equation in a slab,
On the asymptotic analysis of the Boltzmann equation tending towards the Stokes equations
