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Uspekhi Fizicheskikh Nauk, 2025, Volume 195, Number 6, Pages 669–672
DOI: https://doi.org/10.3367/UFNr.2024.09.039764 (Mi ufn15918) 		 
METHODOLOGICAL NOTES

Asymptotic theory of classical tracer transport in inhomogeneous and nonstationary media. Hamilton's formalism

P. S. Kondratenko, L. V. Matveev

Nuclear Safety Institute, Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.3367/UFNr.2024.09.039764
Abstract: We develop an asymptotic theory of tracer transport due to diffusion and advection, when the diffusivity and advection velocity vary slowly over space and time. The tracer concentration is expressed through a single time integral. The integrand is determined by solving first-order ordinary differential equations, which are similar to Hamilton's equations for a material point in classical mechanics.
Keywords: diffusion, advection, asymptotic form, Hamilton's equations.
Received: June 14, 2024
Revised: September 2, 2024
Accepted: September 13, 2024
English version:
Physics–Uspekhi, 2025, Volume 68, Issue 6, Pages 627–630
DOI: https://doi.org/10.3367/UFNe.2024.09.039764
Bibliographic databases:
Document Type: Article
PACS: 02.60.Cb, 05.60.Cd, 05.60.-k
Language: Russian
Citation: P. S. Kondratenko, L. V. Matveev, “Asymptotic theory of classical tracer transport in inhomogeneous and nonstationary media. Hamilton's formalism”, UFN, 195:6 (2025), 669–672; Phys. Usp., 68:6 (2025), 627–630
Citation in format AMSBIB
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