Some results in the nonlinear stability for rotating Bénard problem with rigid boundary condition
|
| Title | Some results in the nonlinear stability for rotating Bénard problem with rigid boundary condition |
| Authors | |
| Abstract | The scope of this article is to expose the stabilizing properties of rotation and solute gradient for the Bénard problem with (at least one-sided) rigid boundary conditions. We perform a linear investigation of the critical threshold for the rotating Bénard problem with a binary fluid, and we also make an investigation with a Lyapunov function for the particular problem of a rotating single fluid. In all the these cases an increase of the Taylor number has stabilizing effects. |
| Publisher | Accademia Peloritana dei Pericolanti |
| Date | 2013-01-29 |
| Source | 0365-0359 |
| Rights | Articles and conference papers published in Atti della Accademia Peloritana dei Pericolanti – Classe di Scienze Fisiche, Matematiche e Naturali are distributed under the terms and conditions of a Creative Commons Attribution 3.0 Unported License (effective since 2009, Vol. 87). Correspondingly, authors who publish with this journal agree to the following terms:Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work´s authorship and initial publication in this journal.Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal´s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access). |