Finite element approximation of steady flows of generalized Newtonian fluids with concentration-dependent power-law index

DOI10.1090/mcom/3379zbMath1414.65034arXiv1708.07830OpenAlexW2962865904WikidataQ114849161 ScholiaQ114849161MaRDI QIDQ4612561

Seungchan Ko, Endre Süli

Publication date: 31 January 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07830

zbMATH Keywords

finite element methodnon-Newtonian fluidsynovial fluidvariable-exponent spaces

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Friction in solid mechanics (74M10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Reaction effects in flows (76V05) Weak solutions to PDEs (35D30)

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Cites Work

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• Lebesgue and Sobolev spaces with variable exponents
• Regularity results for nonlinear elliptic systems and applications
• 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
• Continuity of Solutions of Parabolic and Elliptic Equations
• A decomposition technique for John domains
• Mixed and Hybrid Finite Element Methods
• Finite element approximation of an incompressible chemically reacting non-Newtonian fluid
• Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid
• On steady flows of incompressible fluids with implicit power-law-like rheology