Double diffusive penetrative convection in porous media. (English) Zbl 0899.76161
Summary: A nonlinear energy stability analysis, for the model problem of conective motions due to temperature and salt fields in a porous medium, is carried out. Variations in viscocity and thermal expansion coefficients wit temperature and the nonlinear inertia terms are also induced in the analysis and the effect of their consideration is pointed out. A priori stability and continuous dependence results are also discussed.
MSC:
| 76E15 | Absolute and convective instability and stability in hydrodynamic stability |
| 76E30 | Nonlinear effects in hydrodynamic stability |
| 76S05 | Flows in porous media; filtration; seepage |
References:
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| [7] | Galdi, G. P.; Payne, L. E.; Proctor, M. R.E.; Straughan, B., (Proc. R. Soc. Lond., A414 (1987)), 83 · Zbl 0645.76055 |
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