Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection

Franchi, Franca; Nibbi, Roberta; Straughan, Brian

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.

Citation

Franchi, F., Nibbi, R., & Straughan, B. (2020). Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection. Mathematical Methods in the Applied Sciences, 43(15), 8882-8893. https://doi.org/10.1002/mma.6581

• Journal Article Type: Article
• Acceptance Date: May 19, 2020
• Online Publication Date: Jun 18, 2020
• Publication Date: 2020-10
• Deposit Date: Jul 2, 2020
• Publicly Available Date: Jun 18, 2021
• Journal: Mathematical Methods in the Applied Sciences
• Print ISSN: 0170-4214
• Electronic ISSN: 1099-1476
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 43
• Issue: 15
• Pages: 8882-8893
• DOI: https://doi.org/10.1002/mma.6581
• Public URL: https://durham-repository.worktribe.com/output/1267634