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.
Thermal convection in a simple fluid with fading memory
AMENDOLA, GIOVAMBATTISTA;
2010-01-01
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.File in questo prodotto:
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