Semigroup decay of the linearized Boltzmann equation in a torus

DOI10.1016/j.jde.2015.10.012zbMath1330.35284OpenAlexW1781820828MaRDI QIDQ897814

Kung-Chien Wu, Fu-Cai Li

Publication date: 7 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.10.012

zbMATH Keywords

semigroupdecayBoltzmann equationMaxwellian states

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (4)

Global well-posedness and exponential stability for the fermion equation in weighted Sobolev spaces ⋮ Optimal exponential decay for the linearized ellipsoidal BGK model in weighted Sobolev spaces ⋮ Exponential convergence for the linear homogeneous Boltzmann equation for hard potentials ⋮ Unnamed Item

Cites Work

• The mathematical theory of dilute gases
• The first and second fluid approximation to the linearized Boltzmann equation
• Spectral properties of the linearized Boltzmann operator in \(L^p\) for \(1\leq p\leq\infty\)
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
• Pointwise Behavior of the Linearized Boltzmann Equation on a Torus
• Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
• Asymptotic Theory of the Boltzmann Equation
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