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...
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| Main Authors: | , , |
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| Format: | Book/Monograph |
| Language: | English |
| Published: |
Heidelberg
Univ.-Bibliothek
April 11, 2019
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| Series: | 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)
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| DOI: | 10.11588/emclpp.2019.01.61556 |
| Online Access: | 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 
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| Author Notes: | Philipp Gerstner, Martin Baumann, Vincent Heuveline |
| Summary: | 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. |
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| Item Description: | Gesehen am 07.05.2019 |
| Physical Description: | Online Resource |
| DOI: | 10.11588/emclpp.2019.01.61556 |