A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Dynamic advection”, Nelin. Dinam., 6:3 (2010), 521

Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]

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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 3, Pages 521–530 (Mi nd22)

Dynamic advection

A. V. Borisov^ab, I. S. Mamaev^ab, S. M. Ramodanov^ab

^a Udmurt State University
^b Institute of Computer Science

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Abstract: A new concept of dynamic advection is introduced. The model of dynamic advection deals with the motion of massive particles in a 2D flow of an ideal incompressible liquid. Unlike the standard advection problem, which is widely treated in the modern literature, our equations of motion account not only for particles' kinematics, governed by the Euler equations, but also for their dynamics (which is obviously neglected if the mass of particles is taken to be zero). A few simple model problems are considered.

Keywords: advection, mixing, point vortex, coarse-grained impurities, bifurcation complex.

Received: 04.12.2009

Bibliographic databases:

Document Type: Article

UDC: 521

MSC: 76M23, 76B47,70Exx, 70Hxx

Language: Russian

Citation: A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Dynamic advection”, Nelin. Dinam., 6:3 (2010), 521–530

Citation in format AMSBIB

\Bibitem{BorMamRam10}

\by A.~V.~Borisov, I.~S.~Mamaev, S.~M.~Ramodanov

\paper Dynamic advection

\jour Nelin. Dinam.

\yr 2010

\vol 6

\issue 3

\pages 521--530

\mathnet{http://mi.mathnet.ru/nd22}

\elib{https://elibrary.ru/item.asp?id=15223025}

Linking options:

https://www.mathnet.ru/eng/nd22

https://www.mathnet.ru/eng/nd/v6/i3/p521

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