Artículo
Homogenization of parabolic problems with dynamical boundary conditions of reactive-diffusive type in perforated media
Autor/es | Anguiano Moreno, María |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2020-06-13 |
Fecha de depósito | 2024-01-22 |
Publicado en |
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Resumen | This paper deals with the homogenization of the reaction-diffusion equations in a domain containing periodically distributed holes of size ε, with a dynamical boundary condition of reactive-diffusive type, i.e., we consider ... This paper deals with the homogenization of the reaction-diffusion equations in a domain containing periodically distributed holes of size ε, with a dynamical boundary condition of reactive-diffusive type, i.e., we consider the following nonlinear boundary condition on the surface of the holes where denotes the Laplace–Beltrami operator on the surface of the holes, ν is the outward normal to the boundary, plays the role of a surface diffusion coefficient and g is the nonlinear term. We generalize our previous results established in the case of a dynamical boundary condition of pure-reactive type, i.e., with . We prove the convergence of the homogenization process to a nonlinear reaction-diffusion equation whose diffusion matrix takes into account the reactive-diffusive condition on the surface of the holes. |
Cita | Anguiano Moreno, M. (2020). Homogenization of parabolic problems with dynamical boundary conditions of reactive-diffusive type in perforated media. Zeitschrift für Angewandte Mathematik und Mechanik, 100 (10), e202000088-1. https://doi.org/10.1002/zamm.202000088. |
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