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 restricted to non-linear partial differential equations, which ruled the dynamics of viscous and incompressible stratified fluids in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"...

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Autores principales: Edgardo Alvarez, Hernan Cabrales, Tovias Castro
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/0d5ea5b53cde4affb2fd61298d6388b8
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Sumario: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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mn>3</mn></msup></semantics></math></inline-formula>. Additionally, we use the first derivative of the considered functional to establish the necessary condition of the optimality for the optimal solution.