Application of the Kac equation to turbulence simulation

DOI10.1134/S0965542510030164MaRDI QIDQ6195900

N. N. Fimin, V. M. Chechetkin, O. M. Belotserkovskij

Publication date: 14 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf4853

zbMATH Keywords

Boltzmann equationmathematical simulationsmall-scale turbulenceprobability-theoretic Kac equationsolution of fluid dynamic equations

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55)

Cites Work

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• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Obstruction Theory and Multiparameter Hopf Bifurcation
• Bifurcation theory for Fredholm operators

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