Optimal control theory for a system of partial differential equations associated with stratified fluids

In this paper, we investigate the existence of an optimal solution of a functional restrictedto non-linear partial differential equations, which ruled the dynamics of viscous and incompressible stratified fluids in R3 Additionally, we use the first derivative of the considered functional to establis...

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Autores:
Alvarez, Edgardo
Cabrales González, Hernán Alonso
CASTRO, TOVIAS
Tipo de recurso:
Article of investigation
Fecha de publicación:
2021
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/10851
Acceso en línea:
https://hdl.handle.net/11323/10851
https://repositorio.cuc.edu.co/
Palabra clave:
Non-linear optimal control
Stratified fluids
Energy functional
Optimal condition
State variable
Rights
openAccess
License
Atribución 4.0 Internacional (CC BY 4.0)
Description
Summary:In this paper, we investigate the existence of an optimal solution of a functional restrictedto non-linear partial differential equations, which ruled the dynamics of viscous and incompressible stratified fluids in R3 Additionally, we use the first derivative of the considered functional to establish the necessary condition of the optimality for the optimal solution