Regularization of a non-Newtonian system in an unbounded channel: Existence and uniqueness of solutions

DOI10.1016/S0362-546X(99)00264-3zbMath0993.76004OpenAlexW2084883887MaRDI QIDQ5936415

Frederick Bloom, Wenge Hao

Publication date: 15 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00264-3

zbMATH Keywords

Galerkin methodexistenceinitial-boundary value problemuniquenessunbounded channelbipolar nonlinear fluid

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cauchy problem for the non-Newtonian viscous incompressible fluid
• Analysis of a Ladyzhenskaya model for incompressible viscous flow
• On the uniqueness of plane Poiseuille solutions of the equations of incompressible dipolar viscous fluids
• Steady plane Poiseuille flows of incompressible multipolar fluids
• Existence, uniqueness, and stability of solutions to the initial boundary value problem for bipolar viscous fluids
• Infinite-dimensional dynamical systems in mechanics and physics.
• 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
• Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids¹
• Steady flows of nonlinear bipolar viscous fluids between rotating cylinders
• Regularization of a non-Newtonian system in an unbounded channel: Existence of a maximal compact attractor

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