Conditional and unconditional stability for double diffusive convection when the viscosity has a maximum

Ghazi Abed Meften

Applied Mathematics and Computation, 2021, vol. 392, issue C

Abstract: We here analyse two models of double-diffusive convection in fluid layer when viscosity depends on temperature quadratically. However, to a linearized instability analysis, conditional and global (unconditional) nonlinear stability theories are applied. For the first model, we establish an unconditional nonlinear energy stability. Moreover, in the second model the standard energy method does not yield unconditional stability so a conditional energy analysis is employed to achieve nonlinear results. In addition, the nonlinear stability bounds is found to be independent of the salt field and a presentation of the region of possible subcritical instabilities is given.

Keywords: Nonlinear stability; Energy method; Temperature-dependent viscosity; double-diffusive convection; Ladyzhenskaya’s models (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320306470

DOI: 10.1016/j.amc.2020.125694

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