Approximate methods for equations of incompressible fluid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 2, pp. 275-284 Cet article a éte moissonné depuis la source Math-Net.Ru

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Approximate methods on the basis of sequential approximations in the theory of functional solutions to systems of conservation laws is considered, including the model of dynamics of incompressible fluid. Test calculations are performed, and a comparison with exact solutions is carried out.
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V. A. Galkin; A. O. Dubovik; A. A. Epifanov. Approximate methods for equations of incompressible fluid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 2, pp. 275-284. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_2_a4/

[1] Galkin V. A., “Metricheskaya teoriya funktsionalnykh reshenii zadachi Koshi dlya sistem zakonov sokhraneniya”, Dokl. AN, 431:3 (2010), 298–300

[2] Kruzhkov S. N., “K metodam postroeniya obobschennykh reshenii zadachi Koshi dlya kvazilineinogo uravneniya pervogo poryadka”, Uspekhi matem. nauk, 20:6 (1965), 112–118 | Zbl

[3] Kruzhkov S. N., “Kvazilineinye uravneniya pervogo poryadka so mnogimi nezavisimymi peremennymi”, Matem. sb., 81:2 (1970), 228–255 | Zbl

[4] Bakhvalov N. S., Galkin V. A., Dubinskii Yu. A. (sost.), Kruzhkov S. N. Trudy, Fizmatlit, M., 2000

[5] DiPerna R. J., “Measure-valued solutions of conservation laws”, Arch. Ration. Mech. Anal., 88 (1985), 223–270 | DOI | MR | Zbl

[6] Galkin V. A., Tupchiev V. A., “O razreshimosti v srednem sistemy kvazilineinykh zakonov sokhraneniya”, Dokl. AN SSSR, 300:6 (1988), 1300–1304 | Zbl

[7] Galkin V. A., “Funktsionalnye resheniya zakonov sokhraneniya”, Dokl. AN SSSR, 310:4 (1990), 834–839 | Zbl

[8] Galkin V. A., “Teoriya funktsionalnykh reshenii sistem zakonov sokhraneniya i ee prilozheniya”, Tr. seminara im. I. G. Petrovskogo, 20, Iz-vo MGU, M., 2000, 81–120

[9] Galkin V. A., Russkikh V. V., “Skhodimost priblizhennykh metodov dlya uravnenii neszhimaemoi zhidkosti”, Matem. modelirovanie, 1994, no. 3, 101–113

[10] Landau L. D., Lifshits E. M., Teoreticheskaya fizika, v. 6, Gidrodinamika, Nauka, M., 1986

[11] Monin A. S., Yaglom A. M., Statisticheskaya gidromekhanika. Mekhanika turbulentnosti, v. 1, Nauka, M., 1986

[12] Vallander S. V., Lektsii po gidroaeromekhanike, Iz-vo LGU, L., 1978

[13] Betelin V. B., Galkin V. A., “Zadachi upravleniya parametrami neszhimaemoi zhidkosti pri izmenenii vo vremeni geometrii techeniya”, Dokl. AN, 463:2 (2015), 1–3

[14] Galkin V. A., Dubovik A. O., “Ob upravlenii teplovydeleniem v techenii vyazkoi neszhimaemoi zhidkosti posredstvom dvizheniya granitsy oblasti techeniya”, Vestnik kibernetiki, 19:3 (2015), 136–140