Optimal Control Theory for a System of Partial Differential Equations Associated with Stratified Fluids

Edgardo Alvarez, Hernan Cabrales and Tovias Castro
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Edgardo Alvarez: Departamento de Matemáticas y Estadística, Universidad del Norte, Barranquilla 081007, Colombia
Hernan Cabrales: Departamento de Ciencias Naturales y Exactas, Universidad de la Costa, Barranquila 081007, Colombia
Tovias Castro: Departamento de Matemáticas, Universidad del Atlántico, Barranquila 081007, Colombia

Mathematics, 2021, vol. 9, issue 21, 1-23

Abstract: In this paper, we investigate the existence of an optimal solution of a functional restricted to non-linear partial differential equations, which ruled the dynamics of viscous and incompressible stratified fluids in R 3 . Additionally, we use the first derivative of the considered functional to establish the necessary condition of the optimality for the optimal solution.

Keywords: non-linear optimal control; stratified fluids; energy functional; optimal condition; state variable (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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