Nonlinear stability of the Boltzmann equation in a periodic box

DOI10.1063/1.4929655zbMath1326.35228OpenAlexW1923602510MaRDI QIDQ2943420

Kung-Chien Wu

Publication date: 11 September 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4ebe9aafddbb28559bdd8f784f55a855e5ae3851

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

Related Items (2)

Nonlinear stability of the 1D Boltzmann equation in a periodic box ⋮ Boltzmann systems for gas mixtures in 1D torus

Cites Work

• Unnamed Item
• Asymptotic stability of the relativistic Boltzmann equation for the soft potentials
• Decay and continuity of the Boltzmann equation in bounded domains
• The mathematical theory of dilute gases
• On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
• The Boltzmann Equation Near a Rotational Local Maxwellian
• 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

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