Analysis of the sationary thermal-electro hydrodynamic Boussinesq equations
A functional analytic framework is proposed for setting up the variational formulation of the stationary, thermal-electro hydrodynamical Boussinesq equations. In this setting, existence, stability and uniqueness of solutions in a suitable Sobolev space is shown. The results are obtained by extending...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Buch/Monographie |
| Sprache: | Englisch |
| Veröffentlicht: |
Heidelberg
Univ.-Bibliothek
April 11, 2019
|
| Schriftenreihe: | Preprint series of the Engineering Mathematics and Computing Lab (EMCL)
Preprint no. 2019-01 |
| In: |
Preprint series of the Engineering Mathematics and Computing Lab (EMCL) (Preprint no. 2019-01)
|
| DOI: | 10.11588/emclpp.2019.01.61556 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.11588/emclpp.2019.01.61556 Verlag, kostenfrei, Volltext: http://nbn-resolving.de/urn:nbn:de:bsz:16-emclpp-615562 Verlag, kostenfrei, Volltext: https://doi.org/10.11588/emclpp.2019.01.61556 Verlag, kostenfrei, Volltext: https://journals.ub.uni-heidelberg.de/index.php/emcl-pp/article/view/61556 
|
| Verfasserangaben: | Philipp Gerstner, Martin Baumann, Vincent Heuveline |
| Zusammenfassung: | A functional analytic framework is proposed for setting up the variational formulation of the stationary, thermal-electro hydrodynamical Boussinesq equations. In this setting, existence, stability and uniqueness of solutions in a suitable Sobolev space is shown. The results are obtained by extending the existing theory on stationary Boussinesq equations to take into account a more general force term and by employing a fixed-point argument for augmenting the Boussinesq equations with Gauss' law and the dielectrophoretic force. |
|---|---|
| Beschreibung: | Gesehen am 07.05.2019 |
| Beschreibung: | Online Resource |
| DOI: | 10.11588/emclpp.2019.01.61556 |