Energy stability for thermo-viscous fluids with a fading memory heat flux

DOI10.3934/eect.2015.4.265zbMath1381.35131OpenAlexW2527571180MaRDI QIDQ258796

Adele Manes, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden

Publication date: 10 March 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2015.4.265

zbMATH Keywords

exponential stabilityBénard problemviscous fluid with memory

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Thermodynamics of continua (80A17) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (2)

Tridispersive thermal convection ⋮ Horizontally isotropic bidispersive thermal convection

Cites Work

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• An energy stability method for simple fluids
• Energy stability of steady shear flows of a viscoelastic fluid
• Thermal convection in a simple fluid with fading memory
• Failure of energy stability in Oldroyd-B fluids at arbitrarily low Reynolds numbers
• Semigroups of linear operators and applications to partial differential equations
• On asymptotic stability for linear viscoelastic fluids
• Free energies and dissipation properties for systems with memory
• An energy estimate for the Oldroyd B model: theory and applications.
• The concept of a minimal state in viscoelasticity: new free energies and applications to PDEs
• Extending a theorem of A. M. Liapunov to Hilbert space
• Thermodynamics of Materials with Memory
• Free energies for incompressible viscoelastic fluids

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