Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/4667
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Rodrigues, José Francisco | - |
dc.contributor.author | Urbano, José Miguel | - |
dc.date.accessioned | 2008-09-01T11:36:11Z | - |
dc.date.available | 2008-09-01T11:36:11Z | - |
dc.date.issued | 1998 | en_US |
dc.identifier.citation | International Journal of Non-Linear Mechanics. 33:4 (1998) 555-566 | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/4667 | - |
dc.description.abstract | We discuss the existence of weak solutions to a steady-state coupled system between a two-phase Stefan problem, with convection and non-Fourier heat diffusion, and an elliptic variational inequality traducing the non-Newtonian flow only in the liquid phase. In the Stefan problem for the p-Laplacian equation the main restriction comes from the requirement that the liquid zone is at least an open subset, a fact that leads us to search for a continuous temperature field. Through the heat convection coupling term, this depends on the q-integrability of the velocity gradient and the imbedding theorems of Sobolev. We show that the appropriate condition for the continuity to hold, combining these two powers, is pq> n. This remarkably simple condition, together with q> 3n/(n + 2), that assures the compactness of the convection term, is sufficient to obtain weak solvability results for the interesting space dimension cases n = 2 and n = 3. | en_US |
dc.description.uri | http://www.sciencedirect.com/science/article/B6TJ2-3SYS06P-1/1/cb47394863f129892f05efa43738440a | en_US |
dc.format.mimetype | aplication/PDF | en |
dc.language.iso | eng | eng |
dc.rights | openAccess | eng |
dc.subject | free boundary problems | en_US |
dc.subject | Boussinesq-Stefan problem | en_US |
dc.subject | non-Newtonian flow | en_US |
dc.subject | thermomechanics of solidification | en_US |
dc.subject | p-Laplacian | en_US |
dc.subject | variational inequalities | en_US |
dc.title | On the stationary Boussinesq-Stefan problem with constitutive power-laws | en_US |
dc.type | article | en_US |
dc.identifier.doi | 10.1016/s0020-7462(97)00041-3 | - |
uc.controloAutoridade | Sim | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-5715-2588 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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file224ec5ad0bd641ad891bab96e7d98e10.pdf | 1.03 MB | Adobe PDF | View/Open |
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