Finite element approximation of an incompressible chemically reacting non-Newtonian fluid

DOI10.1051/m2an/2017043zbMath1404.65270arXiv1703.04766OpenAlexW2963483357MaRDI QIDQ4961183

Seungchan Ko, Endre Süli, Petra Pustějovská

Publication date: 26 October 2018

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04766

zbMATH Keywords

finite element methodnon-Newtonian fluidsynovial fluidvariable power-law index

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Reaction effects in flows (76V05)

Related Items (11)

A hybrid high-order method for creeping flows of non-Newtonian fluids ⋮ Stationary solutions to a compressible non-Newtonian fluid with general boundary conditions ⋮ Existence of global weak solutions for unsteady motions of incompressible chemically reacting generalized Newtonian fluids ⋮ Weak solutions to the stationary Cahn-Hilliard/Navier-Stokes equations for compressible fluids ⋮ Time regularity for parabolic \(p(x, t)\)-Laplacian system depending on the symmetric gradient ⋮ A Local Discontinuous Galerkin Approximation for the p-Navier–Stokes System, Part I: Convergence Analysis ⋮ Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions ⋮ Non-Newtonian fluids with discontinuous-in-time stress tensor ⋮ Finite element approximation of steady flows of generalized Newtonian fluids with concentration-dependent power-law index ⋮ Stability of the Stokes projection on weighted spaces and applications ⋮ Stationary Cahn–Hilliard–Navier–Stokes equations for the diffuse interface model of compressible flows

Cites Work

• Unnamed Item
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• Convergence analysis for a finite element approximation of a steady model for electrorheological fluids
• Lebesgue and Sobolev spaces with variable exponents
• Modeling, mathematical and numerical analysis of electrorheological fluids.
• Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in \(L^1\)
• Regularity results for discrete solutions of second order elliptic problems in the finite element method
• Neumann and mixed problems on curvilinear polyhedra
• On existence analysis of steady flows of generalized Newtonian fluids with concentration dependent power-law index
• Finite Element Approximation of Steady Flows of Incompressible Fluids with Implicit Power-Law-Like Rheology
• On the Finite Element Approximation ofp-Stokes Systems
• Mixed and Hybrid Finite Element Methods
• Extension of range of functions
• Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid
• Convergence of the Finite Element Method for the Porous Media Equation with Variable Exponent
• The Mathematical Theory of Finite Element Methods
• On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications

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