Existence of the weak solution for a stratified diffusion model via an iterative method
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| Autores: | , |
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| Formato: | artículo original |
| Estado: | Versión publicada |
| Fecha de Publicación: | 2018 |
| Descripción: | We study the existence and uniqueness of the solution of a non-linear stratified diffusion problem. To this aim, we construct an alternative method based on successive substitutions of a linear approximation of the original problem. We use the theory of partial differential equations and mathematical induction to prove that each of the linear problems of the iteration has a unique weak solution. Finally, we prove that the sequence of weak solutions obtained is a Cauchy sequence that converges to the weak solution of the problem. |
| País: | Portal de Revistas UCR |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Lenguaje: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/32235 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/32235 |
| Palabra clave: | weak solution Iterative method non-linear diffusion solución débil método iterativo difusión no lineal |