The Vlasov kinetic equation, dynamics of continuum and turbulence

DOI10.1134/S1560354711060049zbMath1257.37016MaRDI QIDQ691193

Valery V. Kozlov

Publication date: 30 November 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

conservation lawsturbulenceBenney type chainPoisson-Vlasov type equation

Mathematics Subject Classification ID

Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Statistical thermodynamics (82B30) Dynamical aspects of statistical mechanics (37A60) Vlasov equations (35Q83)

Related Items (1)

Classical solutions of the Vlasov-Poisson equations with external magnetic field in a half-space

Cites Work

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• Collisionless Boltzmann equations and integrable moment equations
• Stationary spherically symmetric models in stellar dynamics
• Vlasov equations
• Generalization of a theorem of Brusotti for curves on a surface of second order
• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Kinetics of collisionless continuous media
• Notes on diffusion in collisionless medium
• Reductions of the Benney equations.
• Application of the Kac equation to turbulence simulation
• The generalized Vlasov kinetic equation
• Some Properties of Long Nonlinear Waves

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