Eestence Globale à Donné de Cauchy Petites pour les modéles discrets de ―équation de Boltzmann

DOI10.1080/03605309108820768zbMath0736.35064OpenAlexW2018735806MaRDI QIDQ3978326

Jean-Michel Bony

Publication date: 25 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309108820768

zbMATH Keywords

Cauchy problemBoltzmann equationglobal existencesmall Cauchy data

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) First-order nonlinear hyperbolic equations (35L60)

Related Items (8)

From discrete velocity Boltzmann equations to gas dynamics before shocks ⋮ Survey of initial value problem for the discrete Boltzmann equation ⋮ Convergence of numerical algorithms for semilinear hyperbolic systems ⋮ \(L^1\) stability of the Boltzmann equation for the hard-sphere model ⋮ Secular growth estimates for hyperbolic systems. ⋮ A random discrete velocity model and approximation of the Boltzmann equation ⋮ Exact Steady Solutions for a Fifteen Velocity Model of Gas ⋮ Approximation of the Boltzmann equation by discrete velocity models.

Cites Work

• Unnamed Item
• Large-time behavior of the Broadwell model of a discrete velocity gas
• Large-time behavior of discrete velocity Boltzmann equations
• Global solution of the initial value problem for a discrete velocity model of the Boltzmann equation

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