On the solution of a Boltzmann system for gas mixtures

DOI10.1007/S00205-009-0219-8zbMath1292.76064OpenAlexW2168794799MaRDI QIDQ849244

Alexander Sotirov, Shih-Hsien Yu

Publication date: 25 February 2010

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-009-0219-8

zbMATH Keywords

Green's functionglobal solutionmass diffusiondiffusion-sound wavehard sphere collision model

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Boltzmann equations (35Q20)

Related Items (16)

Optimal time decay of the Boltzmann system for gas mixtures ⋮ A Rigorous Derivation of a Boltzmann System for a Mixture of Hard-Sphere Gases ⋮ Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system with hard potentials ⋮ Green's function and pointwise behavior of the one-dimensional Vlasov-Maxwell-Boltzmann system ⋮ Hydrodynamic limit of Boltzmann equations for gas mixture ⋮ BGK Model for Two-Component Gases Near a Global Maxwellian ⋮ The Vlasov-Poisson-Boltzmann system for a disparate mass binary mixture ⋮ Stability of planar rarefaction wave to the 3D bipolar Vlasov–Poisson–Boltzmann system ⋮ Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system ⋮ Half-space problem for the discrete Boltzmann equation: condensing vapor flow in the presence of a non-condensable gas ⋮ Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System ⋮ Boltzmann systems for gas mixtures in 1D torus ⋮ Optimal simulation of sandcastle life in dynamic environment based on stability principle ⋮ Milne problem for the linear and linearized Boltzmann equations relevant to a binary gas mixture ⋮ Spectrum Structure and Behaviors of the Vlasov--Maxwell--Boltzmann Systems ⋮ Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system

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• THE GHOST EFFECT IN THE CONTINUUM LIMIT FOR A VAPOR–GAS MIXTURE AROUND CONDENSED PHASES: ASYMPTOTIC ANALYSIS OF THE BOLTZMANN EQUATION
• Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
• Kinetic theory analysis of the two-surface problem of a vapor–vapor mixture in the continuum limit
• The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation

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