A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids

manuscripta mathematica ◽

10.1007/s00229-004-0523-4 ◽

2004 ◽

Vol 116 (2) ◽

pp. 135-156 ◽

Author(s):

Michael Bildhauer ◽

Martin Fuchs ◽

Xiao Zhong

Keyword(s):

Regularity Theory ◽

Newtonian Fluids ◽

Two Dimensional ◽

Generalized Newtonian Fluids ◽

Higher Integrability ◽

Integrability Of Functions

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Local higher integrability for unsteady motion equations of generalized Newtonian fluids

Nonlinear Analysis ◽

10.1016/j.na.2020.112029 ◽

2020 ◽

Vol 200 ◽

pp. 112029

Author(s):

Cholmin Sin

Keyword(s):

Unsteady Motion ◽

Newtonian Fluids ◽

Motion Equations ◽

Generalized Newtonian Fluids ◽

Higher Integrability

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On the regularity of two-dimensional unsteady flows of heat-conducting generalized Newtonian fluids

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2014.03.003 ◽

2014 ◽

Vol 19 ◽

pp. 89-104 ◽

Author(s):

Miroslav Bulíček ◽

Josef Málek ◽

Timofei Nikolaevich Shilkin

Keyword(s):

Unsteady Flows ◽

Newtonian Fluids ◽

Heat Conducting ◽

Two Dimensional ◽

Generalized Newtonian Fluids

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Stencil Scaling for Vector-Valued PDEs on Hybrid Grids With Applications to Generalized Newtonian Fluids

SIAM Journal on Scientific Computing ◽

10.1137/19m1267891 ◽

2020 ◽

Vol 42 (6) ◽

pp. B1429-B1461

Author(s):

Daniel Drzisga ◽

Ulrich Rüde ◽

Barbara Wohlmuth

Keyword(s):

Newtonian Fluids ◽

Generalized Newtonian Fluids ◽

Hybrid Grids ◽

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A note on the global regularity of steady flows of generalized Newtonian fluids

Portugaliae Mathematica ◽

10.4171/pm/1841 ◽

2009 ◽

pp. 211-223 ◽

Author(s):

Francesca Crispo

Keyword(s):

Global Regularity ◽

Newtonian Fluids ◽

Steady Flows ◽

Generalized Newtonian Fluids

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On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-07-00948-x ◽

2007 ◽

Vol 18 (02) ◽

pp. 183-200 ◽

Author(s):

M. Bildhauer ◽

M. Fuchs ◽

X. Zhong

Keyword(s):

Differential Equations ◽

Steady Flow ◽

Strong Solutions ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids

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

Mathematics of Computation ◽

10.1090/mcom/3379 ◽

2018 ◽

Vol 88 (317) ◽

pp. 1061-1090 ◽

Author(s):

Seungchan Ko ◽

Endre Süli

Keyword(s):

Finite Element ◽

Power Law ◽

Finite Element Approximation ◽

Newtonian Fluids ◽

Element Approximation ◽

Steady Flows ◽

Generalized Newtonian Fluids ◽

Power Law Index

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Turbulent channel flow of generalized Newtonian fluids at a low Reynolds number

Journal of Fluid Mechanics ◽

10.1017/jfm.2020.903 ◽

2020 ◽

Vol 908 ◽

Author(s):

Arturo A. Arosemena ◽

Helge I. Andersson ◽

Jannike Solsvik

Keyword(s):

Reynolds Number ◽

Channel Flow ◽

Low Reynolds Number ◽

Turbulent Channel Flow ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids ◽

Abstract

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An investigation on the body force modeling in a lattice Boltzmann BGK simulation of generalized Newtonian fluids

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2014.08.014 ◽

2014 ◽

Vol 415 ◽

pp. 315-332 ◽

Author(s):

Somayeh Farnoush ◽

Mehrdad T. Manzari

Keyword(s):

Lattice Boltzmann ◽

The Body ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids ◽

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Steady and unsteady laminar flows of Newtonian and generalized Newtonian fluids in a planar T-junction

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1626 ◽

2008 ◽

Vol 57 (3) ◽

pp. 295-328 ◽

Author(s):

A. I. P. Miranda ◽

P. J. Oliveira ◽

F. T. Pinho

Keyword(s):

Laminar Flows ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids

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Using the Euler–Lagrange variational principle to obtain flow relations for generalized Newtonian fluids

Rheologica Acta ◽

10.1007/s00397-013-0741-3 ◽

2013 ◽

Vol 53 (1) ◽

pp. 15-22 ◽

Author(s):

Taha Sochi

Keyword(s):

Variational Principle ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids

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