Existence of the weak solution for a stratified diffusion model via an iterative method
Gorde:
| Egileak: | , |
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| Formatua: | artículo original |
| Egoera: | Versión publicada |
| Argitaratze data: | 2018 |
| Deskribapena: | 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. |
| Herria: | Portal de Revistas UCR |
| Erakundea: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Hizkuntza: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/32235 |
| Sarrera elektronikoa: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/32235 |
| Access Level: | acceso abierto |
| Gako-hitza: | weak solution Iterative method non-linear diffusion solución débil método iterativo difusión no lineal |