Abstract
Nonlinear boundary value problems modeling steady polymer flows in domains with impermeable solid walls are studied. The solvability of a nonhomogeneous boundary value problem for the equations governing a polymer flow in the case of an impermeable boundary is proved. The norms of solutions are estimated. The set of weak solutions is shown to be sequentially weakly closed. Additionally, explicit formulas are found for computing the solution of the boundary value problem describing the polymer flow induced by a stretching (shrinking) sheet.
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Original Russian Text © E.S. Baranovskii, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 10, pp. 1648–1655.
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Baranovskii, E.S. Flows of a polymer fluid in domain with impermeable boundaries. Comput. Math. and Math. Phys. 54, 1589–1596 (2014). https://doi.org/10.1134/S0965542514100042
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DOI: https://doi.org/10.1134/S0965542514100042