Stability of steady flows for multi-mode Maxwell fluids

DOI10.1007/s00028-011-0114-2zbMath1298.35013OpenAlexW2144901217MaRDI QIDQ409218

Michael Renardy

Publication date: 12 April 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-011-0114-2

zbMATH Keywords

stability of steady statesnonlinear equationspartial differential equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Viscoelastic fluids (76A10)

Related Items (1)

Linear Stability of Steady Flows of Jeffreys Type Fluids

Cites Work

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• Linear stability of homogeneous elongational flow of the upper convected Maxwell fluid
• Nonlinear stability for advective systems
• Initial value problems for creeping flow of Maxwell fluids
• Stability of creeping flows of Maxwell fluids
• The critical spectrum of a strongly continuous semigroup.
• Location of the continuous spectrum in complex flows of the UCM fluid
• On the linear stability of hyperbolic PDEs and viscoelastic flows
• Spectrally determined growth for creeping flow of the upper convected Maxwell fluid
• Dynamo theory methods for hydrodynamic stability
• The essential spectrum of advective equations
• Existence of Slow Steady Flows of Viscoelastic Fluids with Differential Constitutive Equations
• Local stability conditions in fluid dynamics
• Localized instabilities of vortex rings with swirl
• Instability criteria for the flow of an inviscid incompressible fluid
• An Introduction to Partial Differential Equations

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