The Boltzmann equation with a class of large-amplitude initial data and specular reflection boundary condition

DOI10.1007/s10955-023-03203-6zbMath1529.35320arXiv2011.01503OpenAlexW4388975775MaRDI QIDQ6140920

Gyounghun Ko, Donghyun Lee, Renjun Duan

Publication date: 2 January 2024

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

Full work available at URL: https://arxiv.org/abs/2011.01503

zbMATH Keywords

Boltzmann equationspecular boundary conditionlarge-amplitude initial dataGrönwall argumenttriple iteration

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) A priori estimates in context of PDEs (35B45) 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)

Cites Work

• Unnamed Item
• Asymptotic stability of the Boltzmann equation with Maxwell boundary conditions
• Non-isothermal boundary in the Boltzmann theory and Fourier law
• Regularity of the Boltzmann equation in convex domains
• The Boltzmann equation with weakly inhomogeneous data in bounded domain
• Global well-posedness of the Boltzmann equation with large amplitude initial data
• Decay and continuity of the Boltzmann equation in bounded domains
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Initial-boundary value problems for the Boltzmann equation: Global existence of weak solutions
• Global solutions of the Boltzmann equation in a bounded convex domain
• The mathematical theory of dilute gases
• Stationary solutions to the Boltzmann equation in the hydrodynamic limit
• The Boltzmann equation with large-amplitude initial data in bounded domains
• On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
• Decay of the Boltzmann equation with the specular boundary condition in non-convex cylindrical domains
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• The Boltzmann Equation with Specular Boundary Condition in Convex Domains
• Bounded solutions for the Boltzmann equation

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