Article
Weak-renormalized solutions for a system that models non-isothermal solidification
Author/s | Fernández Cara, Enrique
Dias Vaz, Cristina Lúcia |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2012-07 |
Deposit Date | 2016-05-20 |
Published in |
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Abstract | The 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 ... The 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. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España |
Project ID. | MTM2010-15592 |
Citation | Fernández 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. |
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