| Título: | Thermal waves in absorbing media |
| Autores: | Herrero, Miguel A. ; Vázquez, Juan Luis |
| Tipo de documento: | texto impreso |
| Editorial: | Elsevier, 1988-08 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/restrictedAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Ecuaciones diferenciales , Tipo = Artículo |
| Resumen: |
We discuss the existence of travelling-wave solutions with interfaces for the nonlinear heat equation with absorption ut = a(um)xx – bu(n) with a, b> 0 and m, n ? R. Several situations occur depending on the relative strength of the diffusion and absorption terms reflected by their exponents m and n. We characterize the existence of finite travelling waves in terms of m and n, show their uniqueness up to translations in space and time, and derive their velocity from the wave profile near the interface or front. |
| En línea: | https://eprints.ucm.es/id/eprint/17515/1/Herrero56.pdf |
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