Global stability of Boltzmann equation with large external potential for a class of large oscillation data

DOI10.1016/j.jde.2019.04.016zbMath1417.35091arXiv1811.06153OpenAlexW2964129249MaRDI QIDQ2420527

Guanfa Wang, Yong Wang

Publication date: 6 June 2019

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

Full work available at URL: https://arxiv.org/abs/1811.06153

zbMATH Keywords

Boltzmann equationa priori estimateglobal well-posednesslarge-amplitude initial datalarge external potential

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) 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) Perturbations in context of PDEs (35B20) Boltzmann equations (35Q20)

Cites Work

• Unnamed Item
• Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass
• Global well-posedness of the Boltzmann equation with large amplitude initial data
• Energy method for Boltzmann equation
• Decay and continuity of the Boltzmann equation in bounded domains
• Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
• On the Cauchy problem of the Boltzmann equation with a soft potential
• Stability of the Boltzmann equation with potential forces on torus
• Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Global classical solutions to the Boltzmann equation with external force
• Local solutions to the initial and initial boundary value problem for the Boltzmann equation with an external force. I
• The Boltzmann equation. I. Uniqueness and local existence
• Almost transversality theorem in the classical dynamical system. I
• Classical solutions to the Boltzmann equation for molecules with an angular cutoff
• The Boltzmann equation with large-amplitude initial data in bounded domains
• Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas
• Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications
• Boltzmann Equation with a Large Potential in a Periodic Box
• GLOBAL SOLUTIONS TO THE BOLTZMANN EQUATION WITH EXTERNAL FORCES
• Global existence to Boltzmann equation with external force in infinite vacuum
• Global Existence of Classical Solutions to the Boltzmann Equation with External Force for Hard Potentials
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• On the Boltzmann Equation with External Forces
• Decay of solutions to the mixed problem with the periodicity boundary condition for the linearized boltzmann equation with conservative external force
• Bounded solutions for the Boltzmann equation
• THE BOLTZMANN EQUATION IN THE SPACE $L^2\cap L^\infty_\beta$: GLOBAL AND TIME-PERIODIC SOLUTIONS
• The Vlasov-Poisson-Boltzmann system near vacuum

This page was built for publication: Global stability of Boltzmann equation with large external potential for a class of large oscillation data