Constructive scheme for variational principles: The Bateman procedure for kinetic equations

DOI10.1515/JNET.1996.21.1.59zbMath0844.76085OpenAlexW2030880329MaRDI QIDQ1912233

Bernd Sievers

Publication date: 2 September 1996

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1996.21.1.59

zbMATH Keywords

Euler-Lagrange equationsFokker-Planck equationheat conduction equationlinearized Boltzmann equationextended nonlinear Boltzmann equationFréchet's formalismlocal Lagrange formalismnonlocal Lagrange formalism

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Foundations of thermodynamics and heat transfer (80A05) Foundations of time-dependent statistical mechanics (82C03)

Cites Work

• Necessary and sufficient conditions for the existence of a Lagrangian in field theory. I: Variational approach to selfadjointness for tensorial field equations
• Necessary and sufficient conditions for the existence of a Lagrangian in field theory. II: Direct analytic representations of tensorial field equations
• Necessary and sufficient conditions for the existence of a Lagrangian in field theory. III: Generalized analytic representations of tensorial field equations
• Invariance theory for nonlocal variational principles. I: Extended variations
• Invariance theory for nonlocal variational principles. II': Weak invariance and global conservation laws. III: Strong and absolute invariance
• Invariance theory for nonlocal variational principles. IV: Lagrangian classes

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