DERIVING HYDRODYNAMIC EQUATIONS FOR A HAMILTONIAN “FIELD–LATTICE” SYSTEM

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.

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Publication Details

Journal
Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034504925010052
Primary Topic
Quantum chaos and dynamical systems
Type
article
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article

DERIVING HYDRODYNAMIC EQUATIONS FOR A HAMILTONIAN “FIELD–LATTICE” SYSTEM

T. V. Dudnikova
Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics
Quantum chaos and dynamical systems
article

DERIVING HYDRODYNAMIC EQUATIONS FOR A HAMILTONIAN “FIELD–LATTICE” SYSTEM

T. V. Dudnikova
article en

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.

Доклады Российской академии наук Математика информатика процессы управления / Doklady MathematicsVol. 521(1)
Openalex Percentile: Top 80%
Quantum chaos and dynamical systems
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DERIVING HYDRODYNAMIC EQUATIONS FOR A HAMILTONIAN “FIELD–LATTICE” SYSTEM — T. V. Dudnikova · Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics (2025) | TGRS Research Map | TGRS