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.

Franca Franchi, R.N. (2020). Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 43(15), 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.
2020
Franca Franchi, R.N. (2020). Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 43(15), 8882-8893 [10.1002/mma.6581].
Franca Franchi, Roberta Nibbi, Brian Straughan
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/770057
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