Mathematical Justification of Two Reduced Models for Salt Fingering Convection

Author

Yining Cao
Xiaoming Wang, Missouri University of Science and TechnologyFollow
Jin Han Xie

Abstract

We provide a rigorous proof of the validity of the modified Rayleigh–Bénard convection (MRBC) model from the classical doubly diffusive convection model at the regime of large Lewis number and order one Rayleigh ratio, and the inertial free salt convection model (IFSC) from the MRBC at the sublimit regime with a large Schmidt number.

Recommended Citation

Y. Cao et al., "Mathematical Justification of Two Reduced Models for Salt Fingering Convection," Physica D: Nonlinear Phenomena, vol. 442, article no. 133530, Elsevier, Dec 2022.

The definitive version is available at https://doi.org/10.1016/j.physd.2022.133530

Department(s)

Mathematics and Statistics

Comments

National Natural Science Foundation of China, Grant 2019B030301001

Keywords and Phrases

Asymptotic Analysis; Reduced Model; Salt Fingering Convection; Singular Perturbation

International Standard Serial Number (ISSN)

0167-2789

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Elsevier, All rights reserved.

Publication Date

15 Dec 2022