| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000395460 |
| ISSN: | 0037-8712 |
| Authors: | Rincon, Mauro Antonio1 Scardua, A |
| Institutions: | 1Universidade Federal do Rio de Janeiro, Instituto de Matematica, Ilha do Fundao, Rio de Janeiro. Brasil |
| Year: | 2008 |
| Volumen: | 26 |
| Number: | 1-2 |
| Pages: | 91–106-91–106 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | A mathematical model of the linear thermodynamic equations with moving ends, based on the Stefan Problem is considered. In this work, we are interested in obtaining existence, uniqueness and regularity using the Faedo-Galerkin method. For numerical solutions, we shall employ the finite element method together with the Crank-Nicolson method. A numerical experiment is presented to show the moving boundary for the problem |
| Disciplines: | Matemáticas, Física y astronomía |
| Keyword: | Matemáticas aplicadas, Matemáticas puras, Termodinámica y física estadística, Problema de Stefan, Ecuaciones diferenciales, Existencia, Unicidad, Regularidad, Método de elementos finitos, Método de diferencias finitas, Termodinámica, Problemas de contorno |
| Keyword: | Mathematics, Physics and astronomy, Applied mathematics, Pure mathematics, Thermodynamics and statistical physics, Stefan problem, Differential equations, Existence, Uniqueness, Regularity, Finite element method, Finite difference method, Thermodynamics, Boundary problems |
| Full text: | Texto completo (Ver PDF) |
