Geodesic
Time averaging as an approximate technique for constructing quasi-gasdynamic and quasi-hydrodynamic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2096-2105 Cet article a éte moissonné depuis la source Math-Net.Ru

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Quasi-gasdynamic and quasi-hydrodynamic equations for compressible gas flows and viscous incompressible fluid flows are constructed by averaging the corresponding Navier–Stokes equations over time with the use of certain approximations. 
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T. G. Elizarova. Time averaging as an approximate technique for constructing quasi-gasdynamic and quasi-hydrodynamic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2096-2105. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a12/

[1] Chetverushkin B. N., Kineticheski-soglasovannye skhemy v gazovoi dinamike, MGU, M., 1999

[2] Chetverushkin B. N., Kineticheskie skhemy i kvazigazodinamicheskaya sistema uravnenii, Maks Press, M., 2004 | Zbl

[3] Sheretov Yu. V., Matematicheskoe modelirovanie techenii zhidkosti i gaza na osnove kvazigidrodinamicheskikh i kvazigazodinamicheskikh uravnenii, Tverskoi GU, Tver, 2000

[4] Elizarova T. G., Kvazigazodinamicheskie uravneniya i metody rascheta vyazkikh techenii, Nauchn. mir, M., 2007

[5] Elizarova T. G., Quasi-gas dynamic equations, Springer, Berlin–Heidelberg, 2009 | MR

[6] Sheretov Yu. V., Dinamika sploshnykh sred pri prostranstvenno-vremennom osrednenii, M.–Izhevsk, 2009

[7] Sheretov Yu. V., “Ob obschikh tochnykh resheniyakh uravnenii Nave–Stoksa, Eilera i kvazigidrodinamicheskikh uravnenii”, Vestn. tverskogo GU. Ser. Prikl. matem., 2010, no. 14, 41–58

[8] Sheretov Yu. V., “Kvazigidrodinamicheskie uravneniya i analiticheskie funktsii”, Primenenie funkts. analiza v teorii priblizhenii, Tverskoi GU, Tver, 2010, 61–67

[9] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Drofa, M., 2003

[10] Landau L. D., Lifshits E. M., Gidrodinamika, Nauka, M., 1986 | MR

[11] Zlotnik A. A., “O kvazigazodinamicheskoi sisteme uravnenii s obobschennym uravneniem sostoyaniya i istochnikami tepla”, Matem. modelirovanie, 22:7 (2010), 5–64 | MR

[12] Elizarova T. G., Bulatov O. V., “Regularized shallow water equations and a new method of simulation of the open channel flows”, Compt Fluids, 2011, no. 46, 206–211 | DOI | Zbl

[13] Elizarova T. G., Ustyugov S. D., Kvazigazodinamicheskii algoritm resheniya uravnenii magnitnoi gidrodinamiki. Mnogomernyi sluchai, Preprint No 30, IPMatem., M., 2011, 24 pp.