Further remarks on simple flows of fluids with pressure-dependent viscosities

DOI10.1016/j.nonrwa.2010.06.025zbMath1206.35207OpenAlexW1998845460MaRDI QIDQ611258

Josef Málek, Vít Pruša, Kumbakonam R. Rajagopal, Jaroslav Hron

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.06.025

zbMATH Keywords

non-uniquenesspressure-dependent viscosityinflection velocity profiles

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Related Items (3)

The resolvent technique for investigating the stability of plane Couette flow: bounds for the pressure terms ⋮ Unsteady non-isothermal flow of a viscoplastic fluid with non-constant material moduli at low Reynolds number ⋮ A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity

Uses Software

• FEATFLOW

Cites Work

• On implicit constitutive theories.
• The order completion method for systems of nonlinear PDEs: pseudo-topological perspectives
• On the thermodynamics of fluids defined by implicit constitutive relations
• Cauchy's stress theorem for stresses represented by measures
• The order completion method for systems of nonlinear PDEs revisited
• On the regularity of the pressure of weak solutions of Navier-Stokes equations
• Solving large classes of nonlinear systems of PDEs
• Simple flows of fluids with pressure–dependent viscosities
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