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"...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-10-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/9/21/2672 |
| 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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| ISSN: | 2227-7390 |