Asymptotic Analysis of Viscoelastic Fluid Models with Two Small Relaxation Parameters
A. G. Petrova1,2
1Altai State University, Barnaul, Russia
2Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: viscoelastic fluid, weak polymer solutions, small parameter, asymptotic behavior
Abstract
Asymptotic behavior of solutions of initial-boundary-value problems arising in simulation of motion of incompressible viscoelastic fluids is studied in the case of various combinations of small relaxation parameters (stress relaxation time at constant strain and strain relaxation time at constant stress), one of which can be equal to zero.
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