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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1822–1837 (Mi zvmmf401)  
Asymptotic expansion of the solution to the convective diffusion problem in the wake of a spherical particle

R. G. Akhmetov

Bashkir State Pedagogical University, ul. Oktyabr'skoi revolyutsii 3a, Ufa, 450000, Bashkortostan, Russia
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Abstract: The exterior boundary value problem of steady-state diffusion around a spherical particle placed in a Stokes flow is considered at high Peclet numbers. A complete asymptotic expansion of the solution in the wake of the particle is constructed by the method of matched asymptotic expansions.
Key words: convective diffusion problem in the wake of a spherical particle, asymptotic expansion of solutions, substantiation of asymptotic expansions, method of matched asymptotic expansions.
Received: 13.01.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 10, Pages 1737–1752
DOI: https://doi.org/10.1134/S0965542506100113
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: R. G. Akhmetov, “Asymptotic expansion of the solution to the convective diffusion problem in the wake of a spherical particle”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1822–1837; Comput. Math. Math. Phys., 46:10 (2006), 1737–1752
Citation in format AMSBIB
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\by R.~G.~Akhmetov
\paper Asymptotic expansion of the solution to the convective diffusion problem in the wake of a~spherical particle
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 10
\pages 1822--1837
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304039}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 10
\pages 1737--1752
\crossref{https://doi.org/10.1134/S0965542506100113}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750318784}
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