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

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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.

About the authors

T. V Dudnikova

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Email: tdudnikov@mail.ru
Moscow, Russia

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