On the uniqueness of plane Poiseuille solutions of the equations of incompressible dipolar viscous fluids

DOI10.1016/0020-7225(93)90030-XzbMath0780.76007MaRDI QIDQ1308899

Hamid Bellout, Frederick Bloom

Publication date: 26 January 1994

Published in: International Journal of Engineering Science (Search for Journal in Brave)

zbMATH Keywords

channelradiation conditionthree-dimensional equilibrium equations

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35)

Related Items (8)

Linearized stability of the viscous incompressible bipolar equations ⋮ Regularization of a non-Newtonian system in an unbounded channel: Existence of a maximal compact attractor ⋮ Stability and eigenvalue bounds of the flow of a dipolar fluid between two parallel plates ⋮ Regularization of a non-Newtonian system in an unbounded channel: Existence and uniqueness of solutions ⋮ Some Remarks on Applying Homogenization Theory to Modeling the Constitutive Response of Carbon Nanotubes ⋮ Exact solutions for the flow of a dipolar fluid on a suddenly accelerated flat plate ⋮ On the higher-order boundary conditions for incompressible nonlinear bipolar fluid flow ⋮ Existence and uniqueness of steady flows of nonlinear bipolar viscous fluids in a cylinder

Cites Work

• Steady plane Poiseuille flows of incompressible multipolar fluids
• Existence, uniqueness, and stability of solutions to the initial boundary value problem for bipolar viscous fluids
• Theories of elasticity with couple-stress
• Multipolar continuum mechanics
• Dipolar fluids
• Simple force and stress multipoles
• Multipolar viscous fluids
• Phenomenological behavior of multipolar viscous fluids
• Existence and asymptotic stability of time-dependent poiseuille flows of isothermal bipolar fluids

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