Motion of nonlinear visco-elastic fluid

DOI10.1016/S0362-546X(97)00519-1zbMath0949.76006MaRDI QIDQ4266398

Pavel E. Sobolevskii, Yury Ya. Agranovich

Publication date: 30 September 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemlocal in time unique solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)

Related Items (24)

Global existence results for Oldroyd fluids with wall slip ⋮ On the solvability of the initial-value problem for the motion equations of nonlinear viscoelastic medium in the whole space ⋮ Steady flows of an Oldroyd fluid with threshold slip ⋮ Unnamed Item ⋮ On problem of the dynamics of a viscoelastic medium with memory on an infinite interval ⋮ On error estimates of the penalty method for the viscoelastic flow problem. I: Time discretization ⋮ Well posedness, large deviations and ergodicity of the stochastic 2D Oldroyd model of order one ⋮ Stabilized finite element method for the viscoelastic Oldroyd fluid flows ⋮ \(L_p\)-theory for a generalized nonlinear viscoelastic fluid model of differential type in various domains ⋮ A finite element penalty method for the linearized viscoelastic Oldroyd fluid motion equations ⋮ A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows ⋮ On certain mathematical models in continuum thermomechanics ⋮ Weak solvability of a fractional Voigt viscoelasticity model ⋮ The fully discrete fractional-step method for the Oldroyd model ⋮ Solvability of one non-Newtonian fluid dynamics model with memory ⋮ On one problem of viscoelastic fluid dynamics with memory on an infinite time interval ⋮ Invariant measures for dissipative dynamical systems: abstract results and applications ⋮ An incremental pressure correction finite element method for the time-dependent Oldroyd flows ⋮ Navier-Stokes limit of Jeffreys type flows ⋮ Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: existence, uniqueness, exponential stability and invariant measures ⋮ A central limit theorem and moderate deviation principle for the stochastic 2D Oldroyd model of order one ⋮ Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique ⋮ Finite element approximation for the viscoelastic fluid motion problem ⋮ On error estimates of the fully discrete penalty method for the viscoelastic flow problem

Cites Work

• Existence of global weak solutions for a class of quasilinear hyperbolic integro-differential equations describing visco-elastic materials
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