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
Materias:	non-linear optimal control stratified fluids energy functional optimal condition state variable Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/0d5ea5b53cde4affb2fd61298d6388b8
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spelling	oai:doaj.org-article:0d5ea5b53cde4affb2fd61298d6388b82021-11-11T18:14:15ZOptimal Control Theory for a System of Partial Differential Equations Associated with Stratified Fluids10.3390/math92126722227-7390https://doaj.org/article/0d5ea5b53cde4affb2fd61298d6388b82021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2672https://doaj.org/toc/2227-7390In 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.Edgardo AlvarezHernan CabralesTovias CastroMDPI AGarticlenon-linear optimal controlstratified fluidsenergy functionaloptimal conditionstate variableMathematicsQA1-939ENMathematics, Vol 9, Iss 2672, p 2672 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	non-linear optimal control stratified fluids energy functional optimal condition state variable Mathematics QA1-939
spellingShingle	non-linear optimal control stratified fluids energy functional optimal condition state variable Mathematics QA1-939 Edgardo Alvarez Hernan Cabrales Tovias Castro Optimal Control Theory for a System of Partial Differential Equations Associated with Stratified Fluids
description	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.
format	article
author	Edgardo Alvarez Hernan Cabrales Tovias Castro
author_facet	Edgardo Alvarez Hernan Cabrales Tovias Castro
author_sort	Edgardo Alvarez
title	Optimal Control Theory for a System of Partial Differential Equations Associated with Stratified Fluids
title_short	Optimal Control Theory for a System of Partial Differential Equations Associated with Stratified Fluids
title_full	Optimal Control Theory for a System of Partial Differential Equations Associated with Stratified Fluids
title_fullStr	Optimal Control Theory for a System of Partial Differential Equations Associated with Stratified Fluids
title_full_unstemmed	Optimal Control Theory for a System of Partial Differential Equations Associated with Stratified Fluids
title_sort	optimal control theory for a system of partial differential equations associated with stratified fluids
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0d5ea5b53cde4affb2fd61298d6388b8
work_keys_str_mv	AT edgardoalvarez optimalcontroltheoryforasystemofpartialdifferentialequationsassociatedwithstratifiedfluids AT hernancabrales optimalcontroltheoryforasystemofpartialdifferentialequationsassociatedwithstratifiedfluids AT toviascastro optimalcontroltheoryforasystemofpartialdifferentialequationsassociatedwithstratifiedfluids
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Optimal Control Theory for a System of Partial Differential Equations Associated with Stratified Fluids

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