Geodesic
A stationary flow of an incompressible viscoelastic polymeric fluid through a channel with elliptical cross section
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 38-47

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Some boundary-value problem for a quasilinear elliptic equation is posed. The solution to this problem defines the velocity profile for a stationary flow of an incompressible viscoelastic polymeric fluid through a tube having elliptical cross section. The problem is solved numerically with the use of a nonlocal algorithm without saturation.
Keywords: rheological model, boundary value problem, quasilinear elliptic equation, nonlocal numerical method. 
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     author = {A. M. Blokhin and B. V. Semisalov},
     title = {A stationary flow of an incompressible viscoelastic polymeric fluid through a~channel with elliptical cross section},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {38--47},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a3/}
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A. M. Blokhin; B. V. Semisalov. A stationary flow of an incompressible viscoelastic polymeric fluid through a channel with elliptical cross section. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 38-47. http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a3/