Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
Carmen Calvo-Jurado; Juan Casado-Díaz; Manuel Luna-Laynez
ESAIM: Control, Optimisation and Calculus of Variations (2009)
- Volume: 15, Issue: 1, page 49-67
- ISSN: 1292-8119
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topCalvo-Jurado, Carmen, Casado-Díaz, Juan, and Luna-Laynez, Manuel. "Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets." ESAIM: Control, Optimisation and Calculus of Variations 15.1 (2009): 49-67. <http://eudml.org/doc/250570>.
@article{Calvo2009,
abstract = {
For a fixed bounded open set $\Omega\subset\mathbb\{R\}^N$, a sequence of open sets
$\Omega_n\subset\Omega$ and a sequence of sets
$\Gamma_n\subset\partial\Omega\cap\partial\Omega_n$, we study the
asymptotic behavior of the solution of a nonlinear elliptic
system posed on $\Omega_n$, satisfying Neumann boundary conditions
on $\Gamma_n$ and Dirichlet boundary conditions on $\partial\Omega_n\setminus \Gamma_n$. We obtain a representation
of the limit problem which is stable by homogenization and we
prove that this representation depends on $\Omega_n$ and
$\Gamma_n$ locally.
},
author = {Calvo-Jurado, Carmen, Casado-Díaz, Juan, Luna-Laynez, Manuel},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Homogenization; varying
domains; nonlinear problems; mixed boundary conditions},
language = {eng},
month = {1},
number = {1},
pages = {49-67},
publisher = {EDP Sciences},
title = {Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets},
url = {http://eudml.org/doc/250570},
volume = {15},
year = {2009},
}
TY - JOUR
AU - Calvo-Jurado, Carmen
AU - Casado-Díaz, Juan
AU - Luna-Laynez, Manuel
TI - Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2009/1//
PB - EDP Sciences
VL - 15
IS - 1
SP - 49
EP - 67
AB -
For a fixed bounded open set $\Omega\subset\mathbb{R}^N$, a sequence of open sets
$\Omega_n\subset\Omega$ and a sequence of sets
$\Gamma_n\subset\partial\Omega\cap\partial\Omega_n$, we study the
asymptotic behavior of the solution of a nonlinear elliptic
system posed on $\Omega_n$, satisfying Neumann boundary conditions
on $\Gamma_n$ and Dirichlet boundary conditions on $\partial\Omega_n\setminus \Gamma_n$. We obtain a representation
of the limit problem which is stable by homogenization and we
prove that this representation depends on $\Omega_n$ and
$\Gamma_n$ locally.
LA - eng
KW - Homogenization; varying
domains; nonlinear problems; mixed boundary conditions
UR - http://eudml.org/doc/250570
ER -
References
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