Artículo
Existence, Uniqueness and Homogenization of Nonlinear Parabolic Problems with Dynamical Boundary Conditions in Perforated Media
Autor/es | Anguiano Moreno, María |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2019-12-03 |
Fecha de depósito | 2024-01-22 |
Publicado en |
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Resumen | We consider a nonlinear parabolic problem with nonlinear dynamical boundary conditions of pure-reactive type in a media perforated by periodically distributed holes of size
. The novelty of our work is to consider a ... We consider a nonlinear parabolic problem with nonlinear dynamical boundary conditions of pure-reactive type in a media perforated by periodically distributed holes of size . The novelty of our work is to consider a nonlinear model where the nonlinearity also appears in the boundary. The existence and uniqueness of solution is analyzed. Moreover, passing to the limit when goes to zero, a new nonlinear parabolic problem defined on a unified domain without holes with zero Dirichlet boundary condition and with extra terms coming from the influence of the nonlinear dynamical boundary conditions is rigorously derived. |
Cita | Anguiano Moreno, M. (2019). Existence, Uniqueness and Homogenization of Nonlinear Parabolic Problems with Dynamical Boundary Conditions in Perforated Media. Mediterranean Journal of Mathematics, 17, 18-1. https://doi.org/10.1007/s00009-019-1459-y. |
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