We develop a theory for double diffusive convection in a double porosity material along the Brinkman scheme. The Soret effect is included whereby a temperature gradient may directly influence salt concentration. The boundary conditions on the temperature and salt fields are of general Robin type. A number of a priori estimates are established whereby, through energy arguments, we prove continuous dependence of the solution on the Soret coefficient and on the coefficients in the boundary conditions in the L^2- norm.
Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection / Franca Franchi, Roberta Nibbi, Brian Straughan. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 43:15(2020), pp. 8882-8893. [10.1002/mma.6581]
Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection
Franca Franchi;Roberta Nibbi
;
2020
Abstract
We develop a theory for double diffusive convection in a double porosity material along the Brinkman scheme. The Soret effect is included whereby a temperature gradient may directly influence salt concentration. The boundary conditions on the temperature and salt fields are of general Robin type. A number of a priori estimates are established whereby, through energy arguments, we prove continuous dependence of the solution on the Soret coefficient and on the coefficients in the boundary conditions in the L^2- norm.File | Dimensione | Formato | |
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