Further mathematical results concerning Burgers fluids and their generalizations

DOI10.1007/s00033-011-0173-9zbMath1235.35227OpenAlexW1984795873MaRDI QIDQ662379

Kumbakonam R. Rajagopal, Ramón Quintanilla

Publication date: 22 February 2012

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-011-0173-9

zbMATH Keywords

stabilityenergy methodsgeneralized Burgers fluids

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with geophysics (35Q86)

Related Items (3)

Unsteady flows of a generalized fractional Burgers' fluid between two side walls perpendicular to a plate ⋮ Fast spatial behavior in higher order in time equations and systems ⋮ Uniqueness for a high order ill posed problem

Cites Work

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• A note on stability in dual-phase-lag heat conduction
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• On the flow of a generalized Burgers fluid in an orthogonal rheometer
• Steady-state solutions for some simple flows of generalized Burgers fluids
• Exact solutions for generalized Burgers' fluid in an annular pipe
• The second law of thermodynamics and stability
• A thermodynamic framework for rate-type fluid models
• Exact solution for rotating flows of a generalized Burgers' fluid in a porous space
• Spatial decay estimates in transient heat conduction
• On Burgers fluids
• Spatial decay of transient end effects in functionally graded heat conducting materials
• Qualitative aspects in dual-phase-lag heat conduction

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