Stabilization of Kelvin–Voigt viscoelastic fluid flow model

DOI10.1080/00036811.2018.1460810zbMath1421.35279arXiv1606.03653OpenAlexW2964225520MaRDI QIDQ5228879

Amiya K. Pani, Sudeep Kundu

Publication date: 13 August 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03653

zbMATH Keywords

stabilizationviscoelastic fluidsteady stateexponential decayKelvin-Voigt modelpower and exponential convergence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Viscoelastic fluids (76A10) Asymptotic stability in control theory (93D20)

Related Items (2)

Non-linear wave propagation in a weakly compressible Kelvin-Voigt liquid containing bubbly clusters ⋮ On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations

Cites Work

• Unnamed Item
• Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model
• Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations
• Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
• Asymptotic behavior of linearized viscoelastic flow problem
• Global attractors and determining modes for the 3D Navier-Stokes-Voight equations
• Initial-boundary value problems for the equations of motion of Kelvin- Voigt fluids and Oldroyd fluids
• Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
• Nonlocal problems in the theory of equations of motion of Kelvin-Voigt fluids. II
• Stabilization of viscoelastic fluid motion (Oldroyd's mathematical model)
• On the convergence of viscoelastic fluid flows to a steady state
• Towards a theory of global solvability on \([0,\infty)\) for initial-boundary value problems for the equations of motion of Oldroyd and Kelvin-Voigt fluids
• Theory of nonstationary flows of Kelvin-Voigt fluids
• A viscoelastic fluid model for brain injuries
• Semidiscrete Galerkin method for equations of motion arising in Kelvin‐Voigt model of viscoelastic fluid flow

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