V. T. Volkov, N. E. Grachev, A. V. Dmitriev, N. N. Nefedov, “Front formation and dynamics in the reaction-diffusion-advection model”, Mat. Model., 22:8 (2010), 109–118; Math. Models Comput. Simul., 3:2 (2011), 158

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Matematicheskoe modelirovanie, 2010, Volume 22, Number 8, Pages 109–118 (Mi mm3011)

This article is cited in 3 scientific papers (total in 3 papers)

Front formation and dynamics in the reaction-diffusion-advection model

V. T. Volkov, N. E. Grachev, A. V. Dmitriev, N. N. Nefedov

Lomonosov Moscow State University, Physics Department

Full-text PDF (357 kB) Citations (3)

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Abstract: The asymptotic behavior of solution with inner transition layer – the front in mathematical reaction-diffusion-advection model, describing in-situ combustion process was investigated.

Keywords: asymptotic methods, reaction-diffusion-advection model, sharp transition layer motion.

Received: 11.03.2010

English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 2, Pages 158–164
DOI: https://doi.org/10.1134/S2070048211020116

Bibliographic databases:

Document Type: Article

UDC: 519.633

Language: Russian

Citation: V. T. Volkov, N. E. Grachev, A. V. Dmitriev, N. N. Nefedov, “Front formation and dynamics in the reaction-diffusion-advection model”, Mat. Model., 22:8 (2010), 109–118; Math. Models Comput. Simul., 3:2 (2011), 158–164

Citation in format AMSBIB

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\paper Front formation and dynamics in the reaction-diffusion-advection model

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\issue 8

\pages 109--118

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\transl

\jour Math. Models Comput. Simul.

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\pages 158--164

\crossref{https://doi.org/10.1134/S2070048211020116}

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Linking options:

https://www.mathnet.ru/eng/mm3011

https://www.mathnet.ru/eng/mm/v22/i8/p109

This publication is cited in the following 3 articles:

A. Liubavin, M. Ni, Y. Zhang, D. Chaikovskii, “Asymptotic Solution for Three-Dimensional Reaction–Diffusion–Advection Equation with Periodic Boundary Conditions”, Diff Equat, 60:9 (2024), 1134
Andreasyan R.R. Mikhailov E.A. Andreasyan H.R., “Structure and Features of the Galactic Magnetic-Field Reversals Formation”, Astron. Rep., 64:3 (2020), 189–198
Nefedov N.N., Davydova M.A., “Contrast Structures in Singularly Perturbed Quasilinear Reaction-Diffusion-Advection Equations”, Differ. Equ., 49:6 (2013), 688–706

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	517
Full-text PDF :	246
References:	79
First page:	15

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