Asymptotic analysis of the equations of motion for viscoelastic Oldroyd fluid

DOI10.3934/DCDS.2012.32.657zbMath1235.35229OpenAlexW2329556619MaRDI QIDQ765070

Kun Wang, Yin-Nian He, Yan Ping Lin

Publication date: 19 March 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.657

zbMATH Keywords

Navier-Stokes equationsasymptotic behaviorOldroyd modelviscoelastic flowslong time behavior

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Viscoelastic fluids (76A10) Second-order nonlinear hyperbolic equations (35L70)

Related Items (10)

Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model ⋮ Finite element penalty method for the Oldroyd model of order one with non-smooth initial data ⋮ Fully discrete second-order backward difference method for Kelvin-Voigt fluid flow model ⋮ Stabilized finite element method for the viscoelastic Oldroyd fluid flows ⋮ On a three step two‐grid finite element method for the Oldroyd model of order one ⋮ A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows ⋮ A priori error estimates of fully discrete finite element Galerkin method for Kelvin-Voigt viscoelastic fluid flow model ⋮ An incremental pressure correction finite element method for the time-dependent Oldroyd flows ⋮ Analysis of viscoelastic flow with a generalized memory and its exponential convergence to steady state ⋮ Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one

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