Geodesic
Stationary solutions of equations of incompressible viscoelastic polymer liquid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 5, pp. 845-870 
N. V. Bambaeva; A. M. Blokhin. Stationary solutions of equations of incompressible viscoelastic polymer liquid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 5, pp. 845-870. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_5_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The equations describing flows of an incompressible viscoelastic polymer liquid are studied. Stationary solutions similar to the Poiseuille and Couette solutions for the system of the Navier–Stokes equations are constructed. Stationary discontinuous solutions of the polymer liquid equation are also considered.

[1] Pyshnograi G. V., Pokrovskii V. N., Yanovskii Yu. G. i dr., “Opredelyayuschee uravnenie nelineinykh vyazkouprugikh (polimernykh) sred v nulevom priblizhenii po parametram molekulyarnoi teorii i sledstviya dlya sdviga i rastyazheniya”, Dokl. AN, 339:5 (1994), 612–615

[2] Altukhov Yu. A., Pyshnograi G. V., “Vkhodnye techeniya v kanale $4:1$ tekuchikh lineinykh polimerov”, Mekhanika kompozitsionnykh materialov i konstruktsii, 7:1 (2001), 16–23

[3] Godunov S. K., Uravneniya matematicheskoi fiziki, Nauka, M., 1979 | MR

[4] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Nauka, M., 1978 | MR

[5] Sedov L. I., Mekhanika sploshnoi sredy, v. 1, Nauka, M., 1983

[6] Ovsyannikov L. V., Lektsii po osnovam gazovoi dinamiki, Nauka, M., 1981 | MR

[7] Blokhin A. M., Integraly energii i ikh prilozheniya k zadacham gazovoi dinamiki, Nauka, Novosibirsk, 1986 | MR

[8] Golovicheva I. E., Pyshnograi G. V., Popov V. I., “Obobschenie zakona Puazeilya na osnove reologicheskogo opredelyayuschego sootnosheniya polimernykh zhidkostei”, Prikl. mekhan. i tekhn. fiz., 40:5 (1999), 158–163