Circumventing the lack of dissipation in certain Oldroyd models

DOI10.1016/j.crma.2017.05.013zbMath1368.76004OpenAlexW2676722384MaRDI QIDQ2012342

L. Ridgway Scott, Vivette Girault

Publication date: 31 July 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.05.013

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Variational methods applied to problems in fluid mechanics (76M30) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

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• Existence results in Sobolev spaces for a stationary transport equation
• \(L^p\) and \(W^{1,p}\) regularity of the solution of a steady transport equation
• Functional analysis, Sobolev spaces and partial differential equations
• Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition
• Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids
• Existence of Slow Steady Flows of Viscoelastic Fluids with Differential Constitutive Equations

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