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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| Main Authors: | , , |
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| Format: | article |
| Language: | EN |
| Published: |
MDPI AG
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/0d5ea5b53cde4affb2fd61298d6388b8 |
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| Summary: | 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. |
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