Unconditional non‐linear stability for a fluid of third grade | Zendy

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Unconditional non‐linear stability for a fluid of third grade

Author(s) -

Budu Paula

Publication year - 2004

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.466

Subject(s) - mathematics , stability (learning theory) , viscosity , linear stability , fluid dynamics , function (biology) , thermodynamics , mathematical analysis , mechanics , physics , instability , computer science , machine learning , evolutionary biology , biology

The thermal convection in a layer of a third grade fluid is investigated, with viscosity being a general function of temperature. We develop a non‐linear stability analysis and prove that unconditional non‐linear stability criterion is achieved using a natural energy approach. This shows that, in some sense, the equations for a fluid of third grade are preferable to those for a fluid of second grade or a dipolar fluid. Copyright © 2004 John Wiley & Sons, Ltd.

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