Uniform stability estimates for solutions and their gradients to the Boltzmann equation: a unified approach

DOI10.1016/J.JDE.2008.03.005zbMath1170.35017OpenAlexW2025819926MaRDI QIDQ959831

Bok-Jong Yu, Yong-Kum Cho

Publication date: 12 December 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.03.005

zbMATH Keywords

maximal functionCauchy problemmild solutionclassical solution gradients

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (3)

Global well-posedness of a binary-ternary Boltzmann equation ⋮ \(L^p\)-estimates of the Boltzmann equation around a traveling local Maxwellian ⋮ Uniform stability of the Boltzmann equation with an external force near vacuum

Cites Work

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• Stability in \(L^ 1\) for the spatially homogeneous Boltzmann equation
• On the nonlinear Boltzmann equation in unbounded domains
• The Boltzmann equation. I. Uniqueness and local existence
• The mathematical theory of dilute gases
• \(L^1\) stability of the Boltzmann equation for the hard-sphere model
• Classical solution of the nonlinear Boltzmann equation in all \({\mathbb{R}}^ 3\): asymptotic behavior of solutions.
• Nonlinear functionals of the Boltzmann equation and uniform stability estimates
• \(L^{1}\) and BV-type stability of the Boltzmann equation with external forces
• Spatial Decay Solutions of the Boltzmann Equation: Converse Properties of Long Time Limiting Behavior

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