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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2025, Volume 521, Pages 32–37
DOI: https://doi.org/10.31857/S2686954325010052 (Mi danma617) 		 
MATHEMATICS

Deriving hydrodynamic equations for a Hamiltonian “field-lattice” system

T. V. Dudnikova

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
DOI: https://doi.org/10.31857/S2686954325010052
Abstract: We give the rigorous derivation of hydrodynamic equations for an infinite harmonic crystal coupled to the Klein–Gordon field. These equations hold in the hydrodynamic limit, and they should be considered as the analog of the Euler and Navier–Stokes equations for the model under consideration.
Keywords: local equilibrium states, hydrodynamic limit, Euler and Navier–Stokes type equations.
Presented: B. N. Chetverushkin
Received: 09.04.2024
Revised: 17.02.2025
Accepted: 17.02.2025
English version:
Doklady Mathematics, 2025, Volume 111, Issue 1, Pages 20–24
DOI: https://doi.org/10.1134/S1064562424601094
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: T. V. Dudnikova, “Deriving hydrodynamic equations for a Hamiltonian “field-lattice” system”, Dokl. RAN. Math. Inf. Proc. Upr., 521 (2025), 32–37; Dokl. Math., 111:1 (2025), 20–24
Citation in format AMSBIB
\Bibitem{Dud25}
\by T.~V.~Dudnikova
\paper Deriving hydrodynamic equations for a Hamiltonian ``field-lattice'' system
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2025
\vol 521
\pages 32--37
\mathnet{http://mi.mathnet.ru/danma617}
\elib{https://elibrary.ru/item.asp?id=80559504}
\transl
\jour Dokl. Math.
\yr 2025
\vol 111
\issue 1
\pages 20--24
\crossref{https://doi.org/10.1134/S1064562424601094}
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