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Bénard Problem for Slightly Compressible Fluids: Existence and Nonlinear Stability in 3D
Author
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper shows the existence, uniqueness, and asymptotic behavior in time of regular solutions (a la Ladyzhenskaya) to the Bénard problem for a heat-conducting fluid model generalizing the classical Oberbeck–Boussinesq one.
The novelty of this model, introduced by Corli and Passerini, 2019, and Passerini and Ruggeri, 2014, consists in allowing the density of the fluid to also depend on the pressure field, which, as shown by Passerini and Ruggeri, 2014, is a necessary request from a thermodynamic viewpoint when dealing with convective problems.
This property adds to the problem a rather interesting mathematical challenge that is not encountered in the classical model, thus requiring a new approach for its resolution.
American Psychological Association (APA)
Passerini, Arianna. 2020. Bénard Problem for Slightly Compressible Fluids: Existence and Nonlinear Stability in 3D. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1169983
Modern Language Association (MLA)
Passerini, Arianna. Bénard Problem for Slightly Compressible Fluids: Existence and Nonlinear Stability in 3D. International Journal of Differential Equations No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1169983
American Medical Association (AMA)
Passerini, Arianna. Bénard Problem for Slightly Compressible Fluids: Existence and Nonlinear Stability in 3D. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1169983
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169983