Minimization of the first eigenvalue in problems involving the bi-laplacian

 

שמור ב:
מידע ביבליוגרפי
Autores: Anedda, Claudia, Cuccu, Fabrizio, Porru, Giovanni
פורמט: artículo original
סטטוס:Versión publicada
Fecha de Publicación:2009
תיאור:This paper concerns the minimization of the first eigenvalue in problems involving the bi-Laplacian under either homogeneous Navier boundary conditions or homogeneous Dirichlet boundary conditions. Physically, in case of N = 2, our equation models the vibration of a non homogeneous plate Ω which is either hinged or clamped along the boundary. Given several materials (with different densities) of total extension |Ω|, we investigate the location of these materials inside Ω so to minimize the first mode in the vibration of the corresponding plate.
País:Portal de Revistas UCR
מוסד:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
שפה:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/1422
גישה מקוונת:https://revistas.ucr.ac.cr/index.php/matematica/article/view/1422
מילת מפתח:bi-Laplacian
first eigenvalue
minimization
bi-Laplaciano
primer autovalor
minimización