Existence of the weak solution for a stratified diffusion model via an iterative method

 

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Detalles Bibliográficos
Autores: Cano Macías, Ricardo, Ruíz V., Jorge Mauricio
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