Force stability of the Boltzmann equations

DOI10.1142/S0129167X24500083WikidataQ130101786 ScholiaQ130101786MaRDI QIDQ6491794

Kung-Chien Wu, Ming-Jiea Lyu

Publication date: 24 April 2024

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityBoltzmann equation with forces

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Fokker-Planck equations (35Q84)

Cites Work

• On the Cauchy problem for the Boltzmann equation in the whole space: Global existence and uniform stability in \(L_{\xi}^{2}(H_{x}^{N})\)
• Uniform \(L^p\)-stability theory for the space-inhomogeneous Boltzmann equation with external forces
• Uniform stability of solutions of Boltzmann equation for soft potential with external force
• Stability in \(L^ 1\) for the spatially homogeneous Boltzmann equation
• \(L^1\) stability of the Boltzmann equation for the hard-sphere model
• Stability and exponential convergence for Boltzmann equation
• Nonlinear functionals of the Boltzmann equation and uniform stability estimates
• \(L^{1}\) and BV-type stability of the Boltzmann equation with external forces
• Uniform \(L^{1}\)-stability estimate of the Boltzmann equation near a local Maxwellian
• L¹-stability of the Boltzmann equation for Maxwellian molecules
• On the initial value problem for the Boltzmann equation with a force term
• UNIFORM L^p-STABILITY ESTIMATE FOR THE SPATIALLY INHOMOGENEOUS BOLTZMANN EQUATION NEAR VACUUM
• Spatial Decay Solutions of the Boltzmann Equation: Converse Properties of Long Time Limiting Behavior
• L p stability of solutions of Boltzmann equation with external force in soft potentials
• Stability and exponential convergence in Lp for the spatially homogeneous Boltzmann equation

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