Artículo
Bouillet, J.E.; Shillor, M.; Tarzia, D.A. "Critical outflow for a steady-state stefan problem" (1989) Applicable Analysis. 32(1):31-51
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Abstract:
The problem of the steady temperature distribution in a container of fluid that is kept at a given positive temperature over a part of its boundary and is cooled with a given rate q on the rest of the boundary is considered. It is shown that there exists a critical qc >0 such that for q > qc the temperature is negative in a part of the fluid and this is interpreted as the existence of a solid phase together with the liquid fase. For q < qc the temperature is positive and there is only liquid in the container. Various estimates for qc are given in terms of the geometry. © 1989, Taylor & Francis Group, LLC. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Critical outflow for a steady-state stefan problem |
| Autor: | Bouillet, J.E.; Shillor, M.; Tarzia, D.A. |
| Filiación: | Departamento de Matemàtica, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina Department of Mathematical Sciences, Oakland University, Rochester, MI 43309, United States PROMAR (CONICET-UNR), Instituto de Matemàtica “B.Levi”, Fac. de Ciencias Exactas e Ing., Avda. Pellegrini 250, (2000) Rosario, Argentina |
| Palabras clave: | heat flux; phase change; Stefan problem; variational formulation |
| Año: | 1989 |
| Volumen: | 32 |
| Número: | 1 |
| Página de inicio: | 31 |
| Página de fin: | 51 |
| DOI: | http://dx.doi.org/10.1080/00036818908839837 |
| Título revista: | Applicable Analysis |
| Título revista abreviado: | Appl. Anal. |
| ISSN: | 00036811 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00036811_v32_n1_p31_Bouillet |
Referencias:
- Gonzalez, R.L.V., Tarzia, D.A., Optimization of heat flux in a domain with temperature constraints preprint; Kellogg, O.D., Foundations of potential theory (1929), Springer-Verlag, Berlin; Kinderlehrer, D., Stampacchia, G., An introduction to variational inequalities and their applications (1980), Academic Press, New York; Lions, J.L., Quelques méthodes de résolution des problemes non linéaires (1969), Dunod - Gauthier Villars, Paris; Tarzia, D.A., Sobre el caso estacionario del problema de Stefan a dos fases (1980) Math. Notae, 28, pp. 73-89
- Tarzia, D.A., Una desigualdad para el flujo de calor constante a fin de obtener un problema estacionario de Stefan a dos fases (1985) en Mecanica Computacional, 2, pp. 359-370. , S. R. Idelsohn (Ed.), EUDEBA, Santa Fe (English version to appear in Comput. Mech.)
- Tarzia, D.A., Heat flux in materials with or without phase change (1987) a talk given in the Int. Coll. on Free Boundary Problems: Theory and Applications held in Irsee/Bavaria, pp. 11-20. , June
Citas:
---------- APA ----------
Bouillet, J.E., Shillor, M. & Tarzia, D.A. (1989) . Critical outflow for a steady-state stefan problem. Applicable Analysis, 32(1), 31-51.http://dx.doi.org/10.1080/00036818908839837
---------- CHICAGO ----------
Bouillet, J.E., Shillor, M., Tarzia, D.A. "Critical outflow for a steady-state stefan problem" . Applicable Analysis 32, no. 1 (1989) : 31-51.http://dx.doi.org/10.1080/00036818908839837
---------- MLA ----------
Bouillet, J.E., Shillor, M., Tarzia, D.A. "Critical outflow for a steady-state stefan problem" . Applicable Analysis, vol. 32, no. 1, 1989, pp. 31-51.http://dx.doi.org/10.1080/00036818908839837
---------- VANCOUVER ----------
Bouillet, J.E., Shillor, M., Tarzia, D.A. Critical outflow for a steady-state stefan problem. Appl. Anal. 1989;32(1):31-51.http://dx.doi.org/10.1080/00036818908839837
