Franchi, Franca and Nibbi, Roberta and Straughan, Brian (2020) 'Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection.', Mathematical methods in the applied sciences., 43 (15). pp. 8882-8893.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (145Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1002/mma.6581 |
| Publisher statement: | This is the peer reviewed version of the following article: Franchi, Franca, Nibbi, Roberta & Straughan, Brian (2020). Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection. Mathematical Methods in the Applied Sciences 43(15): 8882-8893 which has been published in final form at https://doi.org/10.1002/mma.6581. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. |
| Date accepted: | 19 May 2020 |
| Date deposited: | 02 July 2020 |
| Date of first online publication: | 18 June 2020 |
| Date first made open access: | 18 June 2021 |
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