Thermal convection in a simple fluid with fading memory |
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Authors: | Giovambattista Amendola |
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Institution: | a Dipartimento di Matematica Applicata “U. Dini”, via F. Buonarroti 1c, 56127 Pisa, Italy b Dipartimento di Matematica, Piazza di Porta S. Donato 5, 40127 Bologna, Italy |
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Abstract: | The problem of thermal convection in a viscoelastic fluid with fading memory is studied. After describing what is meant by a fluid with fading memory, we establish existence and uniqueness for the linearized thermal convection written in an arbitrary bounded domain of the three-dimensional space. Finally, we derive conditions on the Rayleigh number, which guarantee the exponential decay in the linearized stability problem. |
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Keywords: | Benard problem Viscoelastic fluids Fading memory Existence and uniqueness Stability |
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