Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection
Franchi, Franca; Nibbi, Roberta; Straughan, Brian
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.
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|
|Deposit Date||Jul 2, 2020|
|Publicly Available Date||Jun 18, 2021|
|Journal||Mathematical Methods in the Applied Sciences|
|Peer Reviewed||Peer Reviewed|
Accepted Journal Article
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.
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