Enviar artigo por via de e-mail DERIVING HYDRODYNAMIC EQUATIONS FOR A HAMILTONIAN “FIELD–LATTICE” SYSTEM
- Autores: Dudnikova T.V1
-
Afiliações:
- Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Edição: Volume 521, Nº 1 (2025)
- Páginas: 32-37
- Seção: MATHEMATICS
- URL: https://bakhtiniada.ru/2686-9543/article/view/289026
- DOI: https://doi.org/10.7868/S3034504925010052
- EDN: https://elibrary.ru/BTMFBR
- ID: 289026
Citar
Acesso aberto
Acesso está concedido
Somente assinantes
Resumo
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.
Sobre autores
T. Dudnikova
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Email: tdudnikov@mail.ru
Moscow, Russia
Bibliografia
- Morrey C.B. // Commun. Pure Appl. Math. 1955. V 8. P 279-326.
- Olla S., Varadhan R.S.R., Yau H.-T. // Commun. Math. Phys. 1993. V. 155. P. 523-560.
- Esposito R., Marra R., Yau H.-T. // Commun. Math. Phys. 1996. V. 182. P. 395-456.
- Fritz J. An Introduction to the Theory of Hydrodynamic Limits, Lect. Math. Sci. V. 18. The Graduate School of Mathematics, Univ. Tokyo, Tokyo. 2001.
- Boldrighini C., Dobrushin R.L., Suhov Yu.M. // J. Stat. Phys. 1983. V. 31.N3. P. 577-615.
- Dobrushin R.L., Pellegrinotti A., Suhov Yu.M., Triolo L. // J. Stat. Phys. 1986. V. 43. P. 571-607.
- De Masi A., Ianiro N., Pellegrinotti A., Presutti E. // In: Nonequilibrium Phenomena II: From Stochastics to Hydrodynamics, eds. Lebowitz J.L., Montroll E.W. P. 123-294. (NorthHolland, Amsderdam, 1984).
- Добрушин Р.Л., Синай Я.Г., Сухов Ю.М. “Динамические системы статистической механики” в Динамические системы—2. Итоги науки и техн. Сер. Соврем. пробл. мат. Фундам. направления. Т. 2. М.: ВИНИТИ, 1985. С. 235-284.
- Spohn H. Large Scale Dynamics of Interacting Particles (Texts Monogr. Phys. V. 11). Berlin: Springer, 1991.
- Boldrighini C., Suhov Yu.M. // Commun. Math. Phys. 1997. V. 189. P. 577-590.
- Dobrushin R.L., Pellegrinotti A., Suhov Yu.M., Triolo L. // J. Stat. Phys. 1988. V. 52. P. 423-439.
- Дудникова Т.В. // Теорет. и матем. физика. 2011. Т. 169. N3. С. 352-367.
- Dudnikova T.V., Komech A.I. // Russ. J. Math. Phys. 2005. V. 12. N3. P. 301-325.
- Дудникова Т.В. // ДАН. 2022. Т. 506. С. 37-40.
- Дудникова Т.В. // Теорет. и матем. физика. 2024. Т. 218. N 2. С. 280-305.
- Zak J. // Phys. Rev. 1968. V. 168. P. 685-695.
- Dudnikova T.V. // Russ. J. Math. Phys. 2023. V. 30.N4. P. 501-521.
Arquivos suplementares
Nota
In the print version, the article was published under the DOI: 10.31857/S2686954325010052