导出哈密顿“场格”系统的流体动力方程

IF 0.6 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2025-10-17 DOI:10.1134/S1064562424601094

T. V. Dudnikova

引用次数: 0

摘要

本文给出了耦合于克莱因-戈登场的无限谐波晶体的水动力方程的严格推导。这些方程在水动力极限下成立，它们应该被认为是所考虑模型的欧拉方程和纳维-斯托克斯方程的类比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.