The specular reflective boundary problem for the Boltzmann equation with soft potentials

DOI10.1016/J.NA.2011.09.011zbMath1303.76119OpenAlexW2060061634MaRDI QIDQ651150

Zaihong Jiang, Ying Wang

Publication date: 8 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.09.011

zbMATH Keywords

convergenceenergy estimateBurnett functionglobal Maxwellian

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Boltzmann equations (35Q20)

Cites Work

• Energy method for Boltzmann equation
• On the Cauchy problem of the Boltzmann equation with a soft potential
• Stability of contact discontinuity for the Boltzmann equation
• Contact discontinuity with general perturbations for gas motions
• The Boltzmann equation with a soft potential. II: Nonlinear, spatially- periodic
• Classical solutions to the Boltzmann equation for molecules with an angular cutoff
• Boltzmann equation: micro-macro decompositions and positivity of shock profiles
• The Boltzmann equation with soft potentials near a local Maxwellian
• Large time behavior of the solutions to the Boltzmann equation with specular reflective boundary condition
• Exponential decay for soft potentials near Maxwellian
• Nonlinear stability of rarefaction waves for the Boltzmann equation
• A half-space problem for the Boltzmann equation with specular reflection boundary condition
• Time-asymptotic interactions of Boltzmann shock layers in the presence of boundary
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• Almost Exponential Decay Near Maxwellian
• On the Cauchy problem of the Boltzmann and Landau equations with soft potentials

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