Skip to main content

Research Repository

Advanced Search

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

Franchi, Franca; Nibbi, Roberta; Straughan, Brian

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


Authors

Franca Franchi

Roberta Nibbi

Brian Straughan



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 Mar 29, 2024
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

Files

Accepted Journal Article (148 Kb)
PDF

Copyright 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.




You might also like



Downloadable Citations