On the global existence for the Kac model with external force

DOI10.1016/j.mcm.2008.08.023zbMath1165.82317OpenAlexW2028924634MaRDI QIDQ2390182

Yanyan Li

Publication date: 21 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.08.023

zbMATH Keywords

HamiltonianBoltzmann equationglobal existenceharmonic oscillatorexternal forceKac's model

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Initial value problems for nonlinear first-order PDEs (35F25)

Cites Work

• Local solutions to the initial and initial boundary value problem for the Boltzmann equation with an external force. I
• Decay of solutions to the mixed problem for the linearized Boltzmann equation with a potential term in a polyhedral bounded domain
• On the relation between rates of relaxation and convergence of wild sums for solutions of the Kac equation
• On solution of the nonlinear Boltzmann equation with a cut-off in an unbounded domain
• GLOBAL SOLUTIONS TO THE BOLTZMANN EQUATION WITH EXTERNAL FORCES
• On the initial value problem for the Boltzmann equation with a force term
• On the global solutions of the initial boundary value problem for the Boltzmann equation with an external force
• Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
• THE DISCRETE BOLTZMANN EQUATION: A REVIEW OF THE MATHEMATICAL ASPECTS OF THE INITIAL AND INITIAL-BOUNDARY VALUE PROBLEMS
• The hydrodynamical limit of the non linear Boltzmann equation
• Decay of solutions to the cauchy problem for the linearized Boltzmann equation with an unbounded external-force potential
• Probabilistic Investigations on the Explosion of Solutions of the KAC Equation with Infinite Energy Initial Distribution
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