Fernández Cara, EnriqueDias Vaz, Cristina Lúcia2016-05-202016-05-202012-07Fernández Cara, E. y Dias Vaz, C.L. (2012). Weak-renormalized solutions for a system that models non-isothermal solidification. Boletín de la Sociedad Española de Matemática Aplicada, 59, 5-18.1575-9822http://hdl.handle.net/11441/41443The aim of this paper is to prove the existence of weak-renormalized solutions to a system of the Navier-Stokes-Boussinesq kind. This system may be regarded as a modified version of the non-isothermal solidification problem with melt convection. This task will be accomplished satisfactorily in the two-dimensional case. Some nontrivial and deep difficulties will be found, however, in three dimensions in space.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Parabolic PDEsrenormalized solutionssolidification modelsNavierStokes equationsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/BF03322607