Exact Solutions for Nonclassical Stefan Problems
We consider one-phase nonclassical unidimensional Stefan problems for a source function F which depends on the heat flux, or the temperature on the fixed face x=0. In the first case, we assume a temperature boundary condition, and in the second case we assume a heat flux boundary condition or a con...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/868059 |
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| author | Adriana C. Briozzo Domingo A. Tarzia |
| author_facet | Adriana C. Briozzo Domingo A. Tarzia |
| author_sort | Adriana C. Briozzo |
| collection | DOAJ |
| description | We consider one-phase nonclassical unidimensional Stefan problems for a source function F
which depends on the heat flux, or the temperature on the fixed face x=0. In the first case, we assume a temperature boundary condition, and in the second case we assume a heat flux boundary condition or a convective boundary condition at the fixed face. Exact solutions of a similarity type are obtained in all cases. |
| format | Article |
| id | doaj-art-a6b362e2cbdd4cdfb11810ffa3741311 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-a6b362e2cbdd4cdfb11810ffa37413112025-02-03T05:47:01ZengWileyInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/868059868059Exact Solutions for Nonclassical Stefan ProblemsAdriana C. Briozzo0Domingo A. Tarzia1Departamento de Matemática-CONICET, FCE, Universidad Austral, Paraguay 1950, S2000FZF Rosario, ArgentinaDepartamento de Matemática-CONICET, FCE, Universidad Austral, Paraguay 1950, S2000FZF Rosario, ArgentinaWe consider one-phase nonclassical unidimensional Stefan problems for a source function F which depends on the heat flux, or the temperature on the fixed face x=0. In the first case, we assume a temperature boundary condition, and in the second case we assume a heat flux boundary condition or a convective boundary condition at the fixed face. Exact solutions of a similarity type are obtained in all cases.http://dx.doi.org/10.1155/2010/868059 |
| spellingShingle | Adriana C. Briozzo Domingo A. Tarzia Exact Solutions for Nonclassical Stefan Problems International Journal of Differential Equations |
| title | Exact Solutions for Nonclassical Stefan Problems |
| title_full | Exact Solutions for Nonclassical Stefan Problems |
| title_fullStr | Exact Solutions for Nonclassical Stefan Problems |
| title_full_unstemmed | Exact Solutions for Nonclassical Stefan Problems |
| title_short | Exact Solutions for Nonclassical Stefan Problems |
| title_sort | exact solutions for nonclassical stefan problems |
| url | http://dx.doi.org/10.1155/2010/868059 |
| work_keys_str_mv | AT adrianacbriozzo exactsolutionsfornonclassicalstefanproblems AT domingoatarzia exactsolutionsfornonclassicalstefanproblems |