Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients
The mathematical analysis of two one-phase unidimensional and non-classical Stefan problems with nonlinear thermal coecients is obtained. Two related cases are considered, one of them has a temperature condition on the fixed face x = 0 and the other one has a flux condition of the type q0= p t (q0 &...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/30877 |
| Acceso en línea: | http://hdl.handle.net/11336/30877 |
| Access Level: | acceso abierto |
| Palabra clave: | Free Boundary Problem Stefan Problem Nonlinear Thermal Coefficients https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | The mathematical analysis of two one-phase unidimensional and non-classical Stefan problems with nonlinear thermal coecients is obtained. Two related cases are considered, one of them has a temperature condition on the fixed face x = 0 and the other one has a flux condition of the type q0= p t (q0 > 0) : In the first case, the source function depends on the heat flux at the fixed face x = 0; and in the other case it depends on the temperature at the fixed face x = 0: In both cases, we obtain sufficient conditions in order to have the existence of an explicit solution of a similarity type, which is given by using a double fixed point. |
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